it is a good file to learn matlab. lots of examples were solved by matlab and were gathered in this file. better files are on the way hossein gholizadeh power engineering student at SBU

1. IN THE NAME OF GOD THE MOST COMPASSIONATE AND THE MOST MERCIFUL
MATLAB TUTORIAL FOR BEGINNERS
HOSSEIN GHOLIZADEH
BACHELOR STUDENT OF SBU-TEHRAN-ISLAMIC REPUBLIC OF IRAN
ELECTRICAL ENGINEERING-POWER ENGINEERING(POWER ELECTRONICS)

2. • MATLAB COMMAND WINDOW PAGE 1
• >> %MATLAB AS A CALCULATOR
• >>
• >> SPEED_KPS=300000
• SPEED_KPS =
• 300000
• >> YEAR_SEC=365*24*60*60
• YEAR_SEC =
• 31536000
• >> LIGHT_YEAR_KM=SPEED_KPS*YEAR_SEC
• LIGHT_YEAR_KM =
• 9.4608E+12
• >> 9.4608*1000000000000
• ANS =
• 9.4608E+12
• >> SUN_TO_EARTH_KM=150E6
• SUN_TO_EARTH_KM =
• 150000000
• >> EARTH_TO_SUN_SEC=SUN_TO_EARTH_KM/SPEED_KPS
• EARTH_TO_SUN_SEC =
• 500
• >> EARTH_TO_SUN_MIN=EARTH_TO_SUN_SEC/60
• EARTH_TO_SUN_MIN =
• 8.3333
• >>

3. • >> X=42;Y=82;
• >> X=42,Y=82;
• X =
• 42
• >> A_REALLY_LONG_VARIABLE_NAME=7;
• >> AN_OTHER_LONG_VARIABLE_NAME=10;
• >> AN_EXTREMLY_REALLY_LONG_VARIABLE_NAME=
A_REALLY_LONG_VARIABLE_NAME+...
• AN_OTHER_LONG_VARIABLE_NAME
• AN_EXTREMLY_REALLY_LONG_VARIABLE_NAME =
• 17
• >> X=Y
• X =
• 82
• >> Y=X
• Y =
• 82
• >> X=42
• X =
• 42
• >> A=X
• A =
• 42
• >> X=Y
• X =
• 82
• >> Y=A
• Y =
• 42
• MATLAB COMMAND WINDOW PAGE 2
• >>

4. • >> HELP FORMAT
• FORMAT SET OUTPUT FORMAT.
• FORMAT WITH NO INPUTS SETS THE OUTPUT FORMAT TO THE DEFAULT
APPROPRIATE
• FOR THE CLASS OF THE VARIABLE. FOR FLOAT VARIABLES, THE DEFAULT IS
• FORMAT SHORT.
• FORMAT DOES NOT AFFECT HOW MATLAB COMPUTATIONS ARE DONE.
COMPUTATIONS
• ON FLOAT VARIABLES, NAMELY SINGLE OR DOUBLE, ARE DONE IN APPROPRIATE
• FLOATING POINT PRECISION, NO MATTER HOW THOSE VARIABLES ARE DISPLAYED.
• COMPUTATIONS ON INTEGER VARIABLES ARE DONE NATIVELY IN INTEGER. INTEGER
• VARIABLES ARE ALWAYS DISPLAYED TO THE APPROPRIATE NUMBER OF DIGITS FOR
• THE CLASS, FOR EXAMPLE, 3 DIGITS TO DISPLAY THE INT8 RANGE −128:127.
• FORMAT SHORT AND LONG DO NOT AFFECT THE DISPLAY OF INTEGER VARIABLES.
• FORMAT MAY BE USED TO SWITCH BETWEEN DIFFERENT OUTPUT DISPLAY FORMATS
• OF ALL FLOAT VARIABLES AS FOLLOWS:
• FORMAT SHORT SCALED FIXED POINT FORMAT WITH 5 DIGITS.
• FORMAT LONG SCALED FIXED POINT FORMAT WITH 15 DIGITS FOR DOUBLE
• AND 7 DIGITS FOR SINGLE.
• FORMAT SHORTE FLOATING POINT FORMAT WITH 5
DIGITS.
• FORMAT LONGE FLOATING POINT FORMAT WITH 15
DIGITS FOR DOUBLE AND
• 7 DIGITS FOR SINGLE.
• FORMAT SHORTG BEST OF FIXED OR FLOATING POINT
FORMAT WITH 5
• DIGITS.
• FORMAT LONGG BEST OF FIXED OR FLOATING POINT
FORMAT WITH 15
• DIGITS FOR DOUBLE AND 7 DIGITS FOR SINGLE.
• FORMAT SHORTENG ENGINEERING FORMAT THAT HAS AT
LEAST 5 DIGITS
• AND A POWER THAT IS A MULTIPLE OF THREE
• FORMAT LONGENG ENGINEERING FORMAT THAT HAS
EXACTLY 16 SIGNIFICANT
• DIGITS AND A POWER THAT IS A MULTIPLE OF THREE.
• FORMAT MAY BE USED TO SWITCH BETWEEN DIFFERENT
OUTPUT DISPLAY FORMATS
• OF ALL NUMERIC VARIABLES AS FOLLOWS:
• FORMAT HEX HEXADECIMAL FORMAT.

5. • FORMAT + THE SYMBOLS +, − AND BLANK ARE PRINTED
• FOR POSITIVE, NEGATIVE AND ZERO ELEMENTS.
• IMAGINARY PARTS ARE IGNORED.
• FORMAT BANK FIXED FORMAT FOR DOLLARS AND CENTS.
• FORMAT RAT APPROXIMATION BY RATIO OF SMALL
INTEGERS. NUMBERS
• WITH A LARGE NUMERATOR OR LARGE DENOMINATOR
ARE
• REPLACED BY ∗.
• FORMAT MAY BE USED TO AFFECT THE SPACING IN THE
DISPLAY OF ALL
• VARIABLES AS FOLLOWS:
• FORMAT COMPACT SUPPRESSES EXTRA LINE−FEEDS.
• FORMAT LOOSE PUTS THE EXTRA LINE−FEEDS BACK IN.
• EXAMPLE:
• FORMAT SHORT, PI, SINGLE(PI)
• DISPLAYS BOTH DOUBLE AND SINGLE PI WITH 5 DIGITS AS
3.1416 WHILE
• FORMAT LONG, PI, SINGLE(PI)
• MATLAB COMMAND WINDOW PAGE 2
• DISPLAYS PI AS 3.141592653589793 AND SINGLE(PI)
AS 3.1415927.
• FORMAT, INTMAX(′UINT64′), REALMAX
• SHOWS THESE VALUES AS 18446744073709551615
AND 1.7977E+308 WHILE
• FORMAT HEX, INTMAX(′UINT64′), REALMAX
• SHOWS THEM AS FFFFFFFFFFFFFFFF AND
7FEFFFFFFFFFFFFF RESPECTIVELY.
• THE HEX DISPLAY CORRESPONDS TO THE INTERNAL
REPRESENTATION OF THE VALUE
• AND IS NOT THE SAME AS THE HEXADECIMAL
NOTATION IN THE C PROGRAMMING
• LANGUAGE.
• SEE ALSO DISP, DISPLAY, ISNUMERIC, ISFLOAT,
ISINTEGER.
• REFERENCE PAGE IN HELP BROWSER
• DOC FORMAT
• >>

6. • MATLAB COMMAND WINDOW PAGE 1
• >> FORMAT COMPACT
• >> HOSSEIN=19/3
• HOSSEIN =
• 6.3333
• >> FORMAT LONG
• >> HOSSEIN=19/3
• HOSSEIN =
• 6.333333333333333
• >>
• MATLAB COMMAND WINDOW PAGE 1
• >> %COLON OPERATION
• >>
• >> 1:3:7
• ANS =
• 1 4 7
• >> 1:3:8
• ANS =
• 1 4 7
• >> 1:3:9.9
• ANS =
• 1 4 7
• >> 1:3:10
• ANS =
• 1 4 7 10
• >> X1=1:100
• X1 =

7. • COLUMNS 1 THROUGH 21
• 1 2 3 4 5 6 7 8 9 10 11 12 13 14
• 15 16 17 18 19 20 21
• COLUMNS 22 THROUGH 42
• 22 23 24 25 26 27 28 29 30 31 32 33 34 35
• 36 37 38 39 40 41 42
• COLUMNS 43 THROUGH 63
• 43 44 45 46 47 48 49 50 51 52 53 54 55 56
• 57 58 59 60 61 62 63
• COLUMNS 64 THROUGH 84
• 64 65 66 67 68 69 70 71 72 73 74 75 76 77
• 78 79 80 81 82 83 84
• COLUMNS 85 THROUGH 100
• MATLAB COMMAND WINDOW PAGE 2
• 85 86 87 88 89 90 91 92 93 94 95 96 97 98
• 99 100
• >> SIZE(X1)
• ANS =
• 1 100
• >> 1:7
• ANS =
• 1 2 3 4 5 6 7
• >> COLON(1,7)
• ANS =
• 1 2 3 4 5 6 7
• >> EVEN=2:2:500
• EVEN =
• COLUMNS 1 THROUGH 21
• 2 4 6 8 10 12 14 16 18 20 22 24 26 28
• 30 32 34 36 38 40 42
• COLUMNS 22 THROUGH 42
• 44 46 48 50 52 54 56 58 60 62 64 66 68 70
• 72 74 76 78 80 82 84

8. • COLUMNS 43 THROUGH 63
• 86 88 90 92 94 96 98 100 102 104 106 108 110 112
• 114 116 118 120 122 124 126
• COLUMNS 64 THROUGH 84
• 128 130 132 134 136 138 140 142 144 146 148 150 152 154
• 156 158 160 162 164 166 168
• COLUMNS 85 THROUGH 105
• 170 172 174 176 178 180 182 184 186 188 190 192 194 196
• 198 200 202 204 206 208 210
• MATLAB COMMAND WINDOW PAGE 3
• COLUMNS 106 THROUGH 126
• 212 214 216 218 220 222 224 226 228 230 232 234 236 238
• 240 242 244 246 248 250 252
• COLUMNS 127 THROUGH 147
• 254 256 258 260 262 264 266 268 270 272 274 276 278 280
• 282 284 286 288 290 292 294
• COLUMNS 148 THROUGH 168
• 296 298 300 302 304 306 308 310 312 314 316 318 320 322
• 324 326 328 330 332 334 336
• COLUMNS 169 THROUGH 189
• 338 340 342 344 346 348 350 352 354 356 358 360
362 364
• 366 368 370 372 374 376 378
• COLUMNS 190 THROUGH 210
• 380 382 384 386 388 390 392 394 396 398 400 402
404 406
• 408 410 412 414 416 418 420
• COLUMNS 211 THROUGH 231
• 422 424 426 428 430 432 434 436 438 440 442 444
446 448
• 450 452 454 456 458 460 462
• COLUMNS 232 THROUGH 250
• 464 466 468 470 472 474 476 478 480 482 484 486
488 490
• 492 494 496 498 500
• >> SIZE(EVEN)
• ANS =
• 1 250

9. • >> X3=[1:4;5:8;9:12]
• X3 =
• 1 2 3 4
• 5 6 7 8
• 9 10 11 12
• >> X3(2,3)
• MATLAB COMMAND WINDOW PAGE 4
• ANS =
• 7
• >> HOSSEIN=20;
• >> X(2,3)=HOSSEIN
• X =
• 0 0 0
• 0 0 20
• >> X3(2,3)=HOSSEIN
• X3 =
• 1 2 3 4
• 5 6 20 8
• 9 10 11 12
• >> X3(4,5)=100
• X3 =
• 1 2 3 4 0
• 5 6 20 8 0
• 9 10 11 12 0
• 0 0 0 0 100
• >> ALBERT=[1:3;4:6]
• ALBERT =
• 1 2 3
• 4 5 6
• >> ALBERT([1 2],2)
• ANS =
• 2
• 5
• >> ALBERT([2 1],2)
• ANS =
• 5
• 2

10. • >> ALBERT([2 1 2],[3 1 1 2])
• ANS =
• 6 4 4 5
• 3 1 1 2
• 6 4 4 5
• >> ALBERT(2,[1 2 3])
• ANS =
• 4 5 6
• >> ALBERT(2,1:3)
• ANS =
• 4 5 6
• >> ALBERT(END,2)
• ANS =
• 5
• >> END=5
• END=5
• |
• ERROR: ILLEGAL USE OF RESERVED KEYWORD "END".
• >> ALBERT([2 END 1 END],2)
• ANS =
• 5
• 5
• 2
• 5
• >> ALBERT(END−1,END−2)
• ANS =
• 1
• >> ALBERT(END+1,1)=17
• ALBERT =
• 1 2 3
• 4 5 6
• MATLAB COMMAND WINDOW PAGE 6
• 17 0 0
• >> ALBERT(1:END,1:END)
• ANS =
• 1 2 3
• 4 5 6
• 17 0 0

11. • >> ALBERT(END,1:END)
• ANS =
• 17 0 0
• >> ALBERT(END,1:END)=−44
• ALBERT =
• 1 2 3
• 4 5 6
• −44 −44 −44
• >> ALBERT(1:2,2:END)
• ANS =
• 2 3
• 5 6
• >> %COMBINING MATRICES
• >> A1=[1 1 1;1 1 1];A2=[2 2 2;2 2 2];A3=[3 3 3;3 3
3];
• >> [A1 A2 A3]
• ANS =
• 1 1 1 2 2 2 3 3 3
• 1 1 1 2 2 2 3 3 3
• >> [A1;A2;A3]
• ANS =
• 1 1 1
• 1 1 1
• 2 2 2
• 2 2 2
• 3 3 3
• 3 3 3
• >> B1=[1;1];B2=[2 2;2 2];
• >> B3=[3 3 3;3 3 3];

12. • >> [B1 B2 B3]
• ANS =
• 1 2 2 3 3 3
• 1 2 2 3 3 3
• >> [B1 B2 B3 B1]
• ANS =
• 1 2 2 3 3 3 1
• 1 2 2 3 3 3 1
• >> [B1 B3 B2 B1]
• ANS =
• 1 3 3 3 2 2 1
• 1 3 3 3 2 2 1
• >> GILBERT=[1 2 3;4 5 6]
• GILBERT =
• 1 2 3
• 4 5 6
• >> JAKOP=GILBERT ′
• JAKOP =
• 1 4
• 2 5
• 3 6
• >> ALBERT=[1 ; 2 ; 3 ; 4]
• ALBERT =
• 1
• 2
• 3
• 4
• >> ALBERT′
• ANS =
• 1 2 3 4
• >> 1:2:5′
• ANS =
• 1 3 5
• >> (1:2:5)′
• ANS =
• 1
• 3
• 5
• >> HOSSEIN=[1 −5 2 3 0 1];
• >> NS=[1 : 3 , 4 : 6] ;
• >> NS+HOSSEIN
• ANS =
• 2 −3 5 7 5 7

13. • >> NS−HOSSEIN
• ANS =
• 0 7 1 1 5 5
• >> NS .∗ HOSSEIN
• ANS =
• 1 −10 6 12 0 6
• >> HIGHS_MEASURED=[71.001 52.4010 78.1818 ;
73.5967 78.6214 59.6462];
• >> CALIBRATION_FACTORS=[1.1100 1.500 .9900 ;
.9210 1.001 1.3001];
• >> CALIBRATION_FACTORS.∗CALIBRATION_FACTOR
• UNDEFINED FUNCTION OR VARIABLE
′CALIBRATION_FACTOR′.
• DID YOU MEAN:
• >> CALIBRATION_FACTORS.∗CALIBRATION_FACTORS
• ANS =
• 1.2321 2.2500 0.9801
• 0.8482 1.0020 1.6903
• >>
• >> A=[1 2 3 ; 4 5 6 ; 6 1 1 ; 0 1 3] ;
• >> B=[2 −2 ; 3 8 ; 7 4] ;
• >> C=[SIZE(A) SIZE(B)]
• C =
• 4 3 3 2
• >> % MATRICES PRODUCTION CAN BE DONE
• >>
• >> A∗B
• ANS =
• 29 26
• 65 56
• 22 0
• 24 20
• >> X=[1 2 ; 3 4];
• >> N=[6 .5 ; −1 2];
• >> X∗N
• ANS =
• 4.0000 4.5000
• 14.0000 9.5000

14. • >> X.∗N
• ANS =
• 6 1
• −3 8
• >> X^3
• ANS =
• 37 54
• 81 118
• >> X.^3
• ANS =
• 1 8
• 27 64
• >> A=[ 1 2 3 ; 4 5 6];
• >> A+3
• ANS =
• 4 5 6
• 7 8 9
• >> 20∗A
• ANS =
• 20 40 60
• 80 100 120
• >> A∗20
• ANS =
• 20 40 60
• 80 100 120
• >> A./2
• ANS =
• 0.5000 1.0000 1.5000
• 2.0000 2.5000 3.0000
• >> 2./A
• ANS =
• 2.0000 1.0000 0.6667
• 0.5000 0.4000 0.3333
• >> 2.^A
• ANS =
• 2 4 8
• 16 32 64
• >> A.^2
• ANS =
• 1 4 9
• 16 25 36
• >>

15. • >> 1:10+3
• ANS =
• 1 2 3 4 5 6 7 8 9 10 11 12 13
• >> 1:(10+3)
• ANS =
• 1 2 3 4 5 6 7 8 9 10 11 12 13
• >> 6/2∗3
• ANS =
• 9
• >> 6∗2/9
• ANS =
• 1.3333
• >> 6^2^3
• ANS =
• 46656
• >> 36^3
• ANS =
• 46656
• >> 6^(2^3)
• ANS =
• 1679616
• >> 6^8
• ANS =
• 1679616
• >> HELP PRECEDANCE
• PRECEDANCE NOT FOUND.
• MATLAB COMMAND WINDOW PAGE 2
• USE THE HELP BROWSER SEARCH FIELD TO SEARCH THE
DOCUMENTATION, OR
• TYPE "HELP HELP" FOR HELP COMMAND OPTIONS, SUCH
AS HELP FOR METHODS.
• >> HELP HELP PRECEDANCE
• ERROR USING HELP (LINE 49)
• HELP ONLY SUPPORTS ONE TOPIC
• >>

16. • %%%FIRST FUNCTION ADVANCED MY RAND
• FUNCTION A=ADVANCEDMYRAND(LOW,HIGH)
• A=LOW+RAND(3,4)∗(HIGH−LOW);
• END
• % SECOND FUNCTION GIVE ME ONE MORE
• FUNCTION A=GIVEMEONEMORE
• X=INPUT(′GIVE ME ONE MORE BUDDY:′);
• A=X+1;
• END

17. • >> ADVANCEDMYRAND(1,10)
• ANS =
• 9.6145 2.2770 8.1299 1.3214
• 5.3684 4.7959 9.6354 8.6422
• 8.2025 9.2416 6.9017 9.4059
• >> ADVANCEDMYRAND(4,7)
• ANS =
• 6.0362 5.1767 6.1181 4.1385
• 6.2732 5.9664 4.0955 4.2914
• 6.2294 4.5136 4.8308 6.4704
• >> ADVANCEDMYRAND(3,4)
• ANS =
• 3.6948 3.0344 3.7655 3.4898
• 3.3171 3.4387 3.7952 3.4456
• 3.9502 3.3816 3.1869 3.6463
• >> ADVANCEDMYRAND(−2,6)
• ANS =
• 3.6749 3.4376 −1.0480 0.7231
• 4.0375 3.2408 1.9869 2.6821
• 0.2082 −0.6991 5.6780 −0.2095
• >> GIVEMEONEMORE
• GIVE ME ONE MORE BUDDY:5
• ANS =
• 6
• >> GIVEMEONEMORE
• GIVE ME ONE MORE BUDDY:1001
• ANS =
• 1002

18. • >> ADVANCEDMYRAND1(1,10)
• ANS =
• 7.7614 7.2917 5.9249 3.3176
• 3.2959 9.0181 2.2476 8.5665
• 5.5536 9.6336 2.3436 3.2885
• >> [A,B]=ADVANCEDMYRAND1(2,5)
• A =
• 4.4429 3.0500 3.8481 4.4925
• 2.7306 2.5898 3.4199 3.7558
• 4.7878 2.7533 3.0550 3.6492
• B =
• 42.5746
• >> [A,B]=ADVANCEDMYRAND1(1,10)
• A =
• 9.2547 7.7836 1.6827 8.0125
• 3.5726 4.4240 1.4856 9.4061
• 7.8148 6.1104 5.7772 2.1692
• B =
• 67.4932
• >> FPRINTF(′THIS CONCLUDES LESSON3′)
• THIS CONCLUDES LESSON3>>
• >> FPRINTF(′THIS CONCLUDES LESSON3N′)
• THIS CONCLUDES LESSON3
• >>

19. • FUNCTION TOTAL=CHECKOUT(N,PRICE)
• TOTAL=N∗PRICE;
• FPRINTF(′%D ITEMS AT %02F EACHN
TOTAL=%$5.2FN′,N,PRICE,TOTAL);
• END
• >> CHECKOUT(4,3.14)
• 4 ITEMS AT 3.140000 EACH
• TOTAL=
• ANS =
• 12.5600
• >>

20. • >> A=(1:10)^2
• ERROR USING ^
• INPUTS MUST BE A SCALAR AND A SQUARE
MATRIX.
• TO COMPUTE ELEMENTWISE POWER, USE POWER
(.^) INSTEAD.
• >> A=(1:10).^2
• A =
• 1 4 9 16 25 36 49 64 81 100
• >> PLOT(A)
• >>
• TYPE EQUATION HERE.

21. • >> B=(−10:1:10).^2
• B =
• 100 81 64 49 36 25 16 9 4 1 0 1 4 9
• 16 25 36 49 64 81 100
• >> PLOT(B)
• >>
• >> T=−10:10;
• >> A=T^.2;
• ERROR USING ^
• INPUTS MUST BE A SCALAR AND A SQUARE MATRIX.
• TO COMPUTE ELEMENTWISE POWER, USE POWER (.^) INSTEAD.
• >> A=T.^2;
• >> PLOT(T,A)
• >>

22. • >> X1=0:.1:PI/2;Y1=SIN(X1);
• >> X2=PI/2:.1:3∗PI/2;Y2=COS(X2);
• >> PLOT(X1,Y1,X2,Y2)
• >>
• >> X1=0:.1:PI/2;Y1=SIN(X1);
• >> X2=PI/2:.1:3∗PI;Y2=COS(X2);
• >> PLOT(X1,Y1,′R′,X2,Y2,′K′)
• >>

23. • >> T=−10:10;
• >> Y=T.^2;
• >> PLOT(T,B,′M−−O′)
• UNDEFINED FUNCTION OR VARIABLE ′B′.
• >> PLOT(T,Y,′M−−O′)
• >>
• >> X1=0:.1:PI/2;
• Y1=SIN(X1);
• X2=PI/2:.1:3∗PI;
• Y2=COS(X2);
• PLOT(X1,Y1,′R′)
• HOLD ON
• PLOT(X2,Y2,′K:′)
• >>

24. • >> X1=0:.1:PI/2;Y1=SIN(X1);
• >> X2=PI/2:.1:3∗PI;Y2=COS(X2);
• >> PLOT(X1,Y1,X2,Y2);
• >> TITLE(′SIN AND COS′);
• >> XLABEL(′ARGUMENT OF SIN AND COS′);
• >> YLABEL(′AMOUNT OF SIN AND COS′);
• >>
• >> X1=0:.1:PI/2;Y1=SIN(X1);
• X2=PI/2:.1:3∗PI;Y2=COS(X2);
• PLOT(X1,Y1,X2,Y2);
• TITLE(′SIN AND COS′);
• XLABEL(′ARGUMENT OF SIN AND COS′);
• YLABEL(′AMOUNT OF SIN AND COS′);
• LEGEND(′SIN′,′COS′);
• >>

25. • >> SYMS F(T)
• >> DSOLVE(DIFF(F)==F+SIN(T));
• >> DSOLVE(DIFF(F)==F+SIN(T))
• ANS =
• C3∗EXP(T) − (2^(1/2)∗COS(T − PI/4))/2
• >> SYMS A X(T)
• >> DSOLVE(DIFF(X)==A∗X(T))
• ANS =
• C5∗EXP(A∗T)
• >> SYMS A B Y(T)
• >> DSOLVE(DIFF(Y)==A∗Y,Y(0)=B);
• DSOLVE(DIFF(Y)==A∗Y,Y(0)=B);
• |
• ERROR: THE EXPRESSION TO THE LEFT OF THE EQUALS SIGN IS NOT A VALID
TARGET FOR AN
• ASSIGNMENT.
• >> DSOLVE(DIFF(Y)==A∗Y,Y(0)==B)
• ANS =
• B∗EXP(A∗T)
• >> Y=DSOLVE(′D2Y+4∗DY+3∗Y==3∗EXP(−2∗T)′,′Y(0)==1′,′DY(0)==−1′)
• WARNING: THE NUMBER OF INDETERMINATES EXCEEDS THE NUMBER OF
EQUATIONS. TRYING TO
• PARAMETERIZE SOLUTIONS IN TERMS
• INDETERMINATES.
• > IN SYMENGINE (LINE 57)
• IN MUPADENGINE/EVALIN (LINE 102)
• IN MUPADENGINE/FEVAL (LINE 158)
• IN DSOLVE>MUPADDSOLVE (LINE 332)
• IN DSOLVE (LINE 193)
• Y =
• WARNING: THE RESULT CANNOT BE DISPLAYED DUE A PREVIOUSLY INTERRUPTED
COMPUTATION OR OUT
• OF MEMORY. RUN ′RESET(SYMENGINE)′ AND
• RERUN THE COMMANDS TO REGENERATE THE RESULT.
• > IN SYM/DISP (LINE 43)
• IN SYM/DISPLAY (LINE 39)
• >> SYMS T Y(T)
• >> Y=DSOLVE(′D2Y+4∗DY+3∗Y==3∗EXP(−2∗T)′,′Y(0)==1′,′DY(0)==−1′)
• Y =
• WARNING: THE RESULT CANNOT BE DISPLAYED DUE A PREVIOUSLY INTERRUPTED
COMPUTATION OR OUT
• MATLAB COMMAND WINDOW PAGE 2
• OF MEMORY. RUN ′RESET(SYMENGINE)′ AND
• RERUN THE COMMANDS TO REGENERATE THE RESULT.
• > IN SYM/DISP (LINE 43)
• IN SYM/DISPLAY (LINE 39)
• >>

26. • >>
Y=DSOLVE(′D2Y+4∗DY+3∗Y==3∗EXP(−2∗T)′,′Y(0)==1′,′DY(0)==−1′)
• Y =
• (5∗EXP(−T))/2 − 3∗EXP(−2∗T) + (3∗EXP(−3∗T))/2
• >>
• >>
Y=DSOLVE(′D2Y+4∗DY+3∗Y==3∗EXP(−2∗T)′,′Y(0)==1′,′DY(0)==−1′)
• Y =
• (5∗EXP(−T))/2 − 3∗EXP(−2∗T) + (3∗EXP(−3∗T))/2
• >> PLOT(T,Y)
• UNDEFINED FUNCTION OR VARIABLE ′T′.
• >> EZPLOT(Y,[0 8])
• >>

27. • >>
Y=DSOLVE(′D2Y+4∗DY+3∗Y==3∗EXP(−2∗T)′,′Y(0)==1′,′DY(0)==−1′)
• Y =
• (5∗EXP(−T))/2 − 3∗EXP(−2∗T) + (3∗EXP(−3∗T))/2
• >> PLOT(T,Y)
• UNDEFINED FUNCTION OR VARIABLE ′T′.
• >> EZPLOT(Y,[0 8])
• >> Y=DSOLVE(′D2Y+4∗DY+3∗Y==0′,′Y(0)==3′,′DY(0)==4′)
• Y =
• (13∗EXP(−T))/2 − (7∗EXP(−3∗T))/2
• >> EZPLOT(Y,[0 5])
• >>
• >>
Y=DSOLVE(′D2Y+4∗DY+3∗Y==3∗EXP(−2∗T)′,′Y(0)==1′,′DY(0)==−1′)
• Y =
• (5∗EXP(−T))/2 − 3∗EXP(−2∗T) + (3∗EXP(−3∗T))/2
• >> PLOT(T,Y)
• UNDEFINED FUNCTION OR VARIABLE ′T′.
• >> EZPLOT(Y,[0 8])
• >> Y=DSOLVE(′D2Y+4∗DY+3∗Y==0′,′Y(0)==3′,′DY(0)==4′)
• Y =
• (13∗EXP(−T))/2 − (7∗EXP(−3∗T))/2
• >> EZPLOT(Y,[0 5])
• >> Y=DSOLVE(′D2Y+4∗DY+3∗Y==3∗EXP(−2∗T)′)
• Y =
• C9∗EXP(−T) − 3∗EXP(−2∗T) + C10∗EXP(−3∗T)
• >>

28. • %GUESS MY NUMBER
• FUNCTION GUESSMYNUMBER(X)
• IF X==2
• FPRINTF(′CONGRATS;YOU HAVE GUESSED MY NUMBERN′)
• END
• >> GUESSMYNUMBER(2)
• CONGRATS;YOU HAVE GUESSED MY NUMBER
• >> GUESSMYNUMBER(5)
• >>

29. • >> GUESSMYNUMBER(5)
• NOT RIGHT BUT IT WAS GOOD
• >> GUESSMYNUMBER(2)
• CONGRATS;YOU HAVE GUESSED MY NUMBER
• >>
• %GUESS MY NUMBER
• FUNCTION GUESSMYNUMBER(X)
• IF X==2
• FPRINTF(′CONGRATS;YOU HAVE GUESSED MY NUMBERN′)
• ELSE
• FPRINTF(′NOT RIGHT BUT IT WAS GOODN′)
• END

30. • % DAYS OF WEEK
• FUNCTION DAYSOFWEEK(X)
• IF X==1
• FPRINTF(′SUNDAYN′);
• ELSE IF X==2
• FPRINTF(′MONDAYN′);
• ELSE IF X==3
• FPRINTF(′TUESDAYN′);
• ELSE IF X==4
• FPRINTF(′WEDNSDAYN′);
• ELSE IF X==5
• FPRINTF(′THURSDAYN′);
• ELSE IF X==6
• FPRINTF(′FRIDAYN′);
• ELSE IF X==7
• FPRINTF(′SATURDAYN′)
• END
• END
• END
• END
• END
• END
• END
• END

31. • >> DAYSOFWEEK(6)
• FRIDAY
• >> DAYSOFWEEK(7)
• SATURDAY
• >> DAYSOFWEEK(5)
• THURSDAY
• >> DAYSOFWEEK(4)
• WEDNSDAY
• >> DAYSOFWEEK(3)
• TUESDAY
• >> DAYSOFWEEK(2)
• MONDAY
• >> DAYSOFWEEK(1)
• SUNDAY
• >>
• >> 351/7
• ANS =
• 50.1429
• >> FORMAT SHORT
• >> 351/7
• ANS =
• 50.1429
• >> FORMATLONG
• UNDEFINED FUNCTION OR VARIABLE ′FORMATLONG′.
• >> FORMAT LONG
• >> 351/7
• ANS =
• 50.142857142857146
• >> FORMAT SHORT E
• >> 351/7
• ANS =
• 5.0143E+01
• >> FORMAT SHORT G
• >> 351/7
• ANS =
• 50.143

32. • >> FORMAT LONG G
• >> 351/7
• ANS =
• 50.1428571428571
• >> FORMAT BANK
• >> 351/7
• ANS =
• 50.14
• MATLAB COMMAND WINDOW PAGE 2
• >>
• >> ABS(−13)
• ANS =
• 13.00
• >> ABS(1+1∗I)
• ANS =
• 1.41
• >> SQRT(81)
• ANS =
• 9.00
• >> ROUND(9.43)
• ANS =
• 9.00
• >> ROUND(9.65)
• ANS =
• 10.00
• >> FIX(9.32)
• ANS =
• 9.00
• >> FIX(−9.32)
• ANS =
• −9.00

33. • >> FLOOR(2.3)
• ANS =
• 2.00
• >> FLOOR(−2.3)
• ANS =
• MATLAB COMMAND WINDOW PAGE 2
• −3.00
• >> CEIL(2.3)
• ANS =
• 3.00
• >> CEIL(−2.3)
• ANS =
• −2.00
• >> SIGN(2)
• ANS =
• 1.00
• >> SIGN(−2)
• ANS =
• −1.00
• >> LOG(E)
• UNDEFINED FUNCTION OR VARIABLE ′E′.
• >> LO(EXP(1))
• UNDEFINED FUNCTION OR VARIABLE ′LO′.
• DID YOU MEAN:
• >> LOG(EXP(1))
• ANS =
• 1.00
• >> LOG10(2)
• ANS =
• 0.30
• >> FORMAT LONG
• >>
• >> LOG10(2)
• ANS =
• MATLAB COMMAND WINDOW PAGE 3
• 0.301029995663981
• >> LOG2(4)
• ANS =
• 2
• >> SIN(PI/6)
• ANS =
• 0.500000000000000
• >> SIND(30)
• ANS =
• 0.500000000000000
• >> TAND(45)
• ANS =
• 1

34. • >> TAN(PI/4)
• ANS =
• 1.000000000000000
• >> ASIN(.5)
• ANS =
• 0.523598775598299
• >> ASIND(.5)
• ANS =
• 30.000000000000004
• >> ACOS(.5)
• ANS =
• 1.047197551196598
• MATLAB COMMAND WINDOW PAGE 4
• >> ACOSD(.5)
• ANS =
• 60.000000000000007
• >> COSH(0)
• ANS =
• 1
• >> CONJ(1+I∗1)
• ANS =
• 1.000000000000000 − 1.000000000000000I
• >> ANGLE(1+I∗1)
• ANS =
• 0.785398163397448
• >> ANGLED(1+I∗1)
• UNDEFINED FUNCTION OR VARIABLE ′ANGLED′.
• DID YOU MEAN:
• >> ANGLE(1+I∗1)
• ANS =
• 0.785398163397448
• >> ABS(1+I∗1)
• ANS =
• 1.414213562373095
• >> IMAG(1+I∗1)
• ANS =
• 1
• >> REAL(1+I∗1)
• ANS =
• 1
• MATLAB COMMAND WINDOW PAGE 5
• >> COMPLX(6,8)
• UNDEFINED FUNCTION OR VARIABLE ′COMPLX′.
• DID YOU MEAN:
• >> COMPLEX(6,8)
• ANS =
• 6.000000000000000 + 8.000000000000000I
• >> X=LINSPAC(1,2,10)
• UNDEFINED FUNCTION OR VARIABLE ′LINSPAC′.
• DID YOU MEAN:

35. • >> X=LINSPACE(1,2,10)
• X =
• COLUMNS 1 THROUGH 6
• 1.000000000000000 1.111111111111111 1.222222222222222
1.333333333333333
• 1.444444444444444 1.555555555555556
• COLUMNS 7 THROUGH 10
• 1.666666666666667 1.777777777777778 1.888888888888889
2.000000000000000
• >>
• >> LINSPACE(0,2,10)
• ANS =
• 0 0.2222 0.4444 0.6667 0.8889 1.1111 1.3333 1.5556
• 1.7778 2.0000
• >> LINSPACE(0,2,11)
• ANS =
• 0 0.2000 0.4000 0.6000 0.8000 1.0000 1.2000 1.4000
• 1.6000 1.8000 2.0000
• >> LOGSPACE(0,2,3)
• ANS =
• 1 10 100
• >>

36. • >> ONES(3)
• ANS =
• 1 1 1
• 1 1 1
• 1 1 1
• >> ONES(2,3)
• ANS =
• 1 1 1
• 1 1 1
• >> ZEROS(3)
• ANS =
• 0 0 0
• 0 0 0
• 0 0 0
• >> ZEROS(2,3)
• ANS =
• 0 0 0
• 0 0 0
• >> EYES(3)
• UNDEFINED FUNCTION OR VARIABLE ′EYES′.
• DID YOU MEAN:
• >> EYE(3)
• ANS =
• 1 0 0
• 0 1 0
• 0 0 1
• >> EYE(6,10)
• ANS =
• 1 0 0 0 0 0 0 0 0 0
• 0 1 0 0 0 0 0 0 0 0
• 0 0 1 0 0 0 0 0 0 0
• 0 0 0 1 0 0 0 0 0 0
• 0 0 0 0 1 0 0 0 0 0
• MATLAB COMMAND WINDOW PAGE 2
• 0 0 0 0 0 1 0 0 0 0
• >> RANDPERM(10)
• ANS =
• 6 3 7 8 5 1 2 4 9 10
• >> RANDPERM(10)
• ANS =
• 6 1 7 4 9 5 8 3 10 2
• >> RANDPERM(10)
• ANS =
• 2 10 8 9 1 5 7 6 3 4
• >> MAGIC(3)
• ANS =
• 8 1 6
• 3 5 7
• 4 9 2

37. • >> MAGIC(3)
• ANS =
• 8 1 6
• 3 5 7
• 4 9 2
• >> MAGIC(4)
• ANS =
• 16 2 3 13
• 5 11 10 8
• 9 7 6 12
• 4 14 15 1
• >> MAGIC(5)
• ANS =
• 17 24 1 8 15
• 23 5 7 14 16
• MATLAB COMMAND WINDOW PAGE 3
• 4 6 13 20 22
• 10 12 19 21 3
• 11 18 25 2 9
• >> MAGIC(6)
• ANS =
• 35 1 6 26 19 24
• 3 32 7 21 23 25
• 31 9 2 22 27 20
• 8 28 33 17 10 15
• 30 5 34 12 14 16
• 4 36 29 13 18 11
• >> X=[1 2 3;4 5 6]
• X =
• 1 2 3
• 4 5 6
• >> RESHAPE(X,2,3)
• ANS =
• 1 2 3
• 4 5 6
• >> RESHAPE(X,3,2)
• ANS =
• 1 5
• 4 3
• 2 6
• >> V=[1 2 3]
• V =
• 1 2 3
• >> DIAG(V)
• ANS =
• 1 0 0
• 0 2 0
• 0 0 3
• MATLAB COMMAND WINDOW PAGE 4

38. • >> A=[1 2 3;4 5 6;7 8 9]
• A =
• 1 2 3
• 4 5 6
• 7 8 9
• >> DIAG(A)
• ANS =
• 1
• 5
• 9
• >> EIG(A)
• ANS =
• 16.1168
• −1.1168
• −0.0000
• >> DET(A)
• ANS =
• 6.6613E−16
• >> [L,U]=LU(A)
• L =
• 0.1429 1.0000 0
• 0.5714 0.5000 1.0000
• 1.0000 0 0
• U =
• 7.0000 8.0000 9.0000
• 0 0.857 1.7143
• 0 0 0.0000
• >> MAX(A)
• ANS =
• 7 8 9
• MATLAB COMMAND WINDOW PAGE 5
• >> MEAN(A)
• ANS =
• 4 5 6
• >> SUM(A)
• ANS =
• 12 15 18
• >> SORT(A)
• ANS =
• 1 2 3
• 4 5 6
• 7 8 9
• >> E=[1 2 3];
• >> R=[4 5 6];
• >> DOT(E,R)
• ANS =
• 32
• >> CROSS(E,R)
• ANS =
• −3 6 −3
• >> CROSS(R,E)
• ANS =
• 3 −6 3
• >>

39. • >> A=[1 4 5;7 8 9;2 7 9]
• A =
• 1 4 5
• 7 8 9
• 2 7 9
• >> INV(A)
• ANS =
• −1.5000 0.1667 0.6667
• 7.5000 0.1667 −4.3333
• −5.5000 −0.1667 3.3333
• >>
• %DIAGNAL MATRIX
• FUNCTION DIAGNALMATRIX(N)
• FOR I=1:N
• FOR J=1:N
• IF I==J
• A(I,J)=1
• ELSE
• A(I,J)=0
• END
• END
• END

40. • >> DIAGNALMATRIX(5)
• >> DIAGNALMATRIX(5)
• >> DIAGNALMATRIX(5)
• A =
• 1
• A =
• 1 0
• A =
• 1 0 0
• A =
• 1 0 0 0
• A =
• 1 0 0 0 0
• A =
• 1 0 0 0 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• MATLAB COMMAND WINDOW PAGE 2
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0

41. • A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0
• 0 0 0 0 0
• MATLAB COMMAND WINDOW PAGE 3
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0
• 0 0 0 1 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0
• 0 0 0 1 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0
• 0 0 0 1 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0
• 0 0 0 1 0
• 0 0 0 0 0

42. • A =
• MATLAB COMMAND WINDOW PAGE 4
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0
• 0 0 0 1 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0
• 0 0 0 1 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 1 0 0 0
• 0 0 1 0 0
• 0 0 0 1 0
• 0 0 0 0 1
• >>
• %ADDVANCED DIAGNAL MATRIX
• FUNCTION DIAGMATRIX(N)
• FOR I=1:N
• FOR J=1:N
• IF I==J
• A(I,J)=I
• ELSE
• A(I,J)=0
• END
• END
• END
• END

43. • >> DIAGMATRIX(5)
• A =
• 1
• A =
• 1 0
• A =
• 1 0 0
• A =
• 1 0 0 0
• A =
• 1 0 0 0 0
• A =
• 1 0 0 0 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• MATLAB COMMAND WINDOW PAGE 2
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0

44. • A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• 0 0 0 0 0
• A =
• MATLAB COMMAND WINDOW PAGE 3
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• 0 0 0 4 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• 0 0 0 4 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• 0 0 0 4 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• 0 0 0 4 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• MATLAB COMMAND WINDOW PAGE 4
• 0 2 0 0 0
• 0 0 3 0 0
• 0 0 0 4 0
• 0 0 0 0 0
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• 0 0 0 4 0
• 0 0 0 0 0
• >>

45. • A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• 0 0 0 4 0
• 0 0 0 0 5
• %ADDVANCED DIAGNAL MATRIX
• FUNCTION DIAGMATRIX(N)
• FOR I=1:N
• FOR J=1:N
• IF I==J
• A(I,J)=I;
• ELSE
• A(I,J)=0;
• END
• END
• END
• A
• END

46. • >> DIAGMATRIX(5)
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• 0 0 0 4 0
• 0 0 0 0 5
• >>
• %ADDVANCED DIAGNAL MATRIX
• FUNCTION DIAGMATRIX(N)
• FOR I=1:N
• FOR J=1:N
• IF I==J
• A(I,J)=I;
• ELSE
• A(I,J)=0;
• END
• END
• END
• DISPLAY(A)
• END

47. • >> DIAGMATRIX(5)
• A =
• 1 0 0 0 0
• 0 2 0 0 0
• 0 0 3 0 0
• 0 0 0 4 0
• 0 0 0 0 5
• >>
• % FUNCTION VECTOR CROSS
• FUNCTION VECTORCROSS(A,B)
• C(1,1)=DET([A(2,1),B(2,1);A(3,1),B(3,1)]);
• C(2,1)=−1∗DET([A(1,1),B(1,1);A(3,1),B(3,1)]);
• C(3,1)=DET([A(1,1),B(1,1);A(2,1),B(2,1)]);
• DISPLAY(C)
• END

48. • >> A=[1;2;3];
• >> B=[4;5;6];
• >> VECTOORCROS(A,B)
• UNDEFINED FUNCTION OR VARIABLE ′VECTOORCROS′.
• >> VECTOORCROSS(A,B)
• UNDEFINED FUNCTION OR VARIABLE ′VECTOORCROSS′.
• DID YOU MEAN:
• >> VECTORCROSS(A,B)
• C =
• −3
• 6
• −3
• >>
• % SYMETRIC FUNCTION
• FUNCTION SYMETRICMATRIX(N,M)
• IF M==N
• FPRINTF(′YOUR MATRIX IS SYMETRETIC′);
• ELSE
• FPRINTF(′YOUR MATRIX IS NOT SYMETRIC′);
• END
• FOR I=1:N
• FOR J=M:−1:1
• A(I,J)=I^2+J^2;
• END
• END
• DISPLAY(A)
• END

49. • >> SYMETRICMATRIX(5,5)
• YOUR MATRIX IS SYMETRETIC
• A =
• 2 5 10 17 26
• 5 8 13 20 29
• 10 13 18 25 34
• 17 20 25 32 41
• 26 29 34 41 50
• >> SYMETRICMATRIX(5,6)
• YOUR MATRIX IS NOT SYMETRIC
• A =
• 2 5 10 17 26 37
• 5 8 13 20 29 40
• 10 13 18 25 34 45
• 17 20 25 32 41 52
• 26 29 34 41 50 61
• >>
• % SYMETRIC FUNCTION
• FUNCTION SYMETRICMATRIX(N,M)
• IF M==N
• FPRINTF(′YOUR MATRIX IS SYMETRETIC′);
• ELSE
• FPRINTF(′YOUR MATRIX IS NOT SYMETRIC′);
• END
• FOR I=1:N
• FOR J=1:M
• A(I,J)=I^2+J^2;
• END
• END
• DISPLAY(A)
• END

50. • % QUADRITIC EQUATION
• FUNCTION QUADRITICEQUATION
• A=INPUT(′ENTER A(A∗X∗X+B∗X+C):′);
• B=INPUT(′ENTER B(A∗X∗X+B∗X+C):′);
• C=INPUT(′ENTER C(A∗X∗X+B∗X+C):′);
• IF A==0 && B~=0
• X=−C/B;
• DISPLAY(X);
• ELSE
• DELTA=B∗B−4∗A∗C;
• X1=(−B+SQRT(DELTA))/(2∗A);
• X2=(−B−SQRT(DELTA))/(2∗A);
• END
• DISPLAY(X1);
• DISPLAY(X2);
• END
• >> QUADRITICEQUATION
• ENTER A(A∗X∗X+B∗X+C):1
• ENTER B(A∗X∗X+B∗X+C):2
• ENTER C(A∗X∗X+B∗X+C):4
• X1 =
• −1.0000 + 1.7321I
• X2 =
• −1.0000 − 1.7321I
• >> QUADRITICEQUATION
• ENTER A(A∗X∗X+B∗X+C):1
• ENTER B(A∗X∗X+B∗X+C):2
• ENTER C(A∗X∗X+B∗X+C):1
• X1 =
• −1
• X2 =
• −1
• >>

51. • >> PHI=LINSPACE(0,1,30);
• >> THETA=LINSPACE(0,2∗PI,30);
• >> [PHI,THETA]=MESHGRID(PHI,THETA);
• >> X=R.∗COS(THETA);
• UNDEFINED FUNCTION OR VARIABLE ′R′.
• >> X=PH.∗COS(THETA);
• UNDEFINED FUNCTION OR VARIABLE ′PH′.
• DID YOU MEAN:
• >> X=PHI.∗COS(THETA);
• >> Y=PHI.∗SIN(THETA);
• >> Z=PHI;
• >> MESH(X,Y,Z)
• >>
• >> PHI=LINSPACE(0,1,30);
• THETA=LINSPACE(0,2∗PI,30);
• [PHI,THETA]=MESHGRID(PHI,THETA);
• X=PHI.∗COS(THETA);
• Y=PHI.∗SIN(THETA);
• Z=PHI;
• MESH(X,Y,Z)
• >> XLABEL(′X′;)
• XLABEL(′X′;)
• |
• ERROR: UNBALANCED OR UNEXPECTED PARENTHESIS OR BRACKET.
• >> XLABEL(′X′);
• >> YLABEL(′Y′);
• >> ZLABEL(′Z′);
• >>
• >>

52. • >> THETA=LINSPACE(0,PI,30);
• >> ALPHA=LINSPACE(0,2∗PI,30);
• >> [THETA,ALPHA]=MESHGRID(THETA,ALPHA);
• >> X=SIN(THETA).∗COS(ALPHA);
• >> Y=SIN(THETA).∗SIN(ALPHA);
• >> Z=COS(THETA);
• >> MESH(X,Y,Z)
• >>
• >> U=LINSPACE(0,6∗PI,60);
• >> V=LINSPACE(0,2∗PI,60);
• >> [U,V]=MEASHGRID(U,V);
• UNDEFINED FUNCTION OR VARIABLE ′MEASHGRID′.
• DID YOU MEAN:
• >> [U,V]=MESHGRID(U,V);
• >> X=2∗(1−EXP(U/(6∗PI))).∗COS(U).∗COS(V/2).^2;
• >> Y=2∗(−1+EXP(U/(6∗PI))).∗SIN(U).∗COS(V/2).2;
• Y=2∗(−1+EXP(U/(6∗PI))).∗SIN(U).∗COS(V/2).2;
• |
• ERROR: UNEXPECTED MATLAB EXPRESSION.
• >> Y=2∗(−1+EXP(U/(6∗PI))).∗SIN(U).∗COS(V/2).^2;
• >> Z=1−EXP(U/(3∗PHI))−SIN(V)+EXP(U/(6∗PI)).∗SIN(V);
• UNDEFINED FUNCTION OR VARIABLE ′PHI′.
• >> Z=1−EXP(U/(3∗PI))−SIN(V)+EXP(U/(6∗PI)).∗SIN(V);
• >> MESH(X,Y,Z)
• >>

53. • >> U=LINSPACE(0,6∗PI,60);
• >> V=LINSPACE(0,2∗PI,60);
• >> [U,V]=MEASHGRID(U,V);
• UNDEFINED FUNCTION OR VARIABLE ′MEASHGRID′.
• DID YOU MEAN:
• >> [U,V]=MESHGRID(U,V);
• >> X=2∗(1−EXP(U/(6∗PI))).∗COS(U).∗COS(V/2).^2;
• >> Y=2∗(−1+EXP(U/(6∗PI))).∗SIN(U).∗COS(V/2).2;
• Y=2∗(−1+EXP(U/(6∗PI))).∗SIN(U).∗COS(V/2).2;
• |
• ERROR: UNEXPECTED MATLAB EXPRESSION.
• >> Y=2∗(−1+EXP(U/(6∗PI))).∗SIN(U).∗COS(V/2).^2;
• >> Z=1−EXP(U/(3∗PHI))−SIN(V)+EXP(U/(6∗PI)).∗SIN(V);
• UNDEFINED FUNCTION OR VARIABLE ′PHI′.
• >> Z=1−EXP(U/(3∗PI))−SIN(V)+EXP(U/(6∗PI)).∗SIN(V);
• >> MESH(X,Y,Z)
• >> VIEW(10,50)
• >>
• >> U=LINSPACE(0,6∗PI,60);
• >> V=LINSPACE(0,2∗PI,60);
• >> [U,V]=MEASHGRID(U,V);
• UNDEFINED FUNCTION OR VARIABLE ′MEASHGRID′.
• DID YOU MEAN:
• >> [U,V]=MESHGRID(U,V);
• >> X=2∗(1−EXP(U/(6∗PI))).∗COS(U).∗COS(V/2).^2;
• >> Y=2∗(−1+EXP(U/(6∗PI))).∗SIN(U).∗COS(V/2).2;
• Y=2∗(−1+EXP(U/(6∗PI))).∗SIN(U).∗COS(V/2).2;
• |
• ERROR: UNEXPECTED MATLAB EXPRESSION.
• >> Y=2∗(−1+EXP(U/(6∗PI))).∗SIN(U).∗COS(V/2).^2;
• >> Z=1−EXP(U/(3∗PHI))−SIN(V)+EXP(U/(6∗PI)).∗SIN(V);
• UNDEFINED FUNCTION OR VARIABLE ′PHI′.
• >> Z=1−EXP(U/(3∗PI))−SIN(V)+EXP(U/(6∗PI)).∗SIN(V);
• >> MESH(X,Y,Z)
• >> VIEW(10,50)
• >> VIEW(50,10)
• >> VIEW(50,70)
• >> VIEW(100,10)
• >>

54. • >> U=LINSPACE(0,2∗PI,30);
• >> V=LINSPACE(−1,1,15);
• >> [U,V]=MESHGRID(U,V);
• >> X=V/2.∗SIN(U/2);
• >> Y=(1+COS(U/2)).∗COS(U);
• >> Y=(1+COS(U/2)).∗SIN(U);
• >> Z=(1+COS(U/2)).∗COS(U);
• >> MESH(X,Y,Z)
• >>
• >> U=LINSPACE(0,2∗PI,30);
• >> V=LINSPACE(−1,1,15);
• >> [U,V]=MESHGRID(U,V);
• >> X=V/2.∗SIN(U/2);
• >> Y=(1+COS(U/2)).∗COS(U);
• >> Y=(1+COS(U/2)).∗SIN(U);
• >> Z=(1+COS(U/2)).∗COS(U);
• >> MESH(X,Y,Z)
• >> VIEW(100,5)
• >>

55. • >> U=LINSPACE(0,2∗PI,60);
• >> V=LINSPACE(0,2∗PI,60);
• >> [U,V]=MESHGRID(U,V);
• >> X=(1+COS(U/2)).∗SIN(V)−SIN(U/2).∗SIN(2∗V).COS(U);
• UNDEFINED VARIABLE "SIN" OR CLASS "SIN".
• >> X=(1+COS(U/2)).∗SIN(V)−SIN(U/2).∗SIN(2∗V).∗COS(U);
• >> Y=(1+COS(U/2)).∗SIN(V)−SIN(U/2).∗SIN(2∗V).∗SIN(U);
• >> Z=SIN(U/2);
• >> MESH(X,Y,Z)
• >>
• >> V=U=LINSPACE(−1.5,1.5,40);
• V=U=LINSPACE(−1.5,1.5,40);
• |
• ERROR: THE EXPRESSION TO THE LEFT OF THE EQUALS SIGN IS NOT A
• VALID TARGET FOR AN ASSIGNMENT.
• DID YOU MEAN:
• >> U = LINSPACE(−1.5,1.5,40); V = U;
• >> [U,V]=MESHGRID(U,V);
• >> X=U−U.^3/3+U.∗V.^3;
• >> Y=V−V.^3/3+V.∗U.^3;
• >> U.^2−V.^2;
• >> Z=U.^2−V.^2;
• >> MESH(X,Y,Z)
• >>

56. • >> U=LINSPACE(−2,2,40);
• >> V=LINSPACE(0,2∗PI,40);
• >> [U,V]=MESHGRID(U,V);
• >> X=COSH(U).∗COS(V);
• >> Y=COSH(U).∗SIN(V);
• >> Z=SINH(U);
• >> MESH(X,Y,Z);
• >>
• >> U=LINSPACE(−2,2,40);
• >> V=LINSPACE(0,2−PI,40);
• >> [U,V]=MESHGRID(U,V);
• >> X=SINH(U).∗COSH(V);
• >> Y=SINH(U).∗SIN(V);
• >> Z=COSH(U);
• >> MESH(X,Y,Z)
• >>

57. • >> U=LINSPACE(−2,2,40);
• V=LINSPACE(0,2−PI,40);
• [U,V]=MESHGRID(U,V);
• X=SINH(U).∗COSH(V);
• Y=SINH(U).∗SIN(V);
• Z=COSH(U);
• MESH(X,Y,Z)
• >> U=LINSPACE(−2,2,40);
• >> V=LINSPACE(0,2−PI);
• >> [U,V]=MESHGRID(U,V);
• >> X=SINH(U).∗COSH(V);
• >> Y=SINH(U).∗SIN(V);
• >> Z=COSH(U);
• >> MESH(X,Y,Z)
• >> U=LINSPACE(−2,2,40);
• >> V=LINSPACE(0,2∗PI);
• >> [U,V]=MESHGRID(U,V);
• >> X=SINH(U).∗COSH(V);
• >> Y=SINH(U).∗SIN(V);
• >> Z=COSH(U);
• >> MESH(X,Y,Z)
• >>
• >> U=LINSPACE(−1,1,40);
• >> V=U;
• >> [U,V]=MESHGRID(U,V);
• >> X=U.∗V;
• >> Y=U;
• >> Z=V.^2;
• >> MESH(X,Y,Z)
• >>

58. • >> U=LINSPACE(−2,2,40);
• >> V=LINSPACE(−2,2,40);
• >> [U,V]=MESHGRID(U,V);
• >> X=V.∗COS(U);
• >> Y=V.∗SIN(U);
• >> Z=U;
• >> MESH(X,Y,Z)
• >>
• >> T=LINSPACE(0,2,200);
• >> X=T;Y=T.^2;Z=T.^3;
• >> PLOT3(X,Y,Z)
• >> GRID
• >>

59. • >> T=LINSPACE(0,2,100);
• >> [X,Y]=MESHGRID(T);
• >> Z=−7./(1+X.^2+Y.^2);
• >> MESH(X,Y,Z)
• >> VIEW(160,30)
• >>
• >> SYMS X;
• >> S1=EXP(X^8);
• >> DIFF(S1)
• ANS =
• 8∗X^7∗EXP(X^8)
• >> S2=3∗X^3∗EXP(X^5);
• >> DIFF(S2)
• ANS =
• 9∗X^2∗EXP(X^5) + 15∗X^7∗EXP(X^5)
• >>

60. • >> SYMS X
• >> S1=ABS(X);
• >> INT(S1,.2,.7)
• ANS =
• 9/40
• >> S2=COS(X)+7∗X^2;
• >> INT(S2,.2,PI)
• ANS =
• (7∗PI^3)/3 − SIN(1/5) − 7/375
• >> S3=SQRT(X);
• >> INT(S3)
• ANS =
• (2∗X^(3/2))/3
• >>
• >> DSOLVE(′DY=5∗T−6∗Y′)
• ANS =
• (5∗T)/6 + (C6∗EXP(−6∗T))/36 − 5/36
• >> DSOLVE(′D2Y+3∗DY=0′)
• ANS =
• C8 + C9∗EXP(−3∗T)
• >> DSOLVE(′D2Y+3∗DY+Y=0′)
• ANS =
• C11∗EXP(T∗(5^(1/2)/2 − 3/2)) + C12∗EXP(−T∗(5^(1/2)/2 + 3/2))
• >> DSOLVE(′DY=−7∗X^2′,′Y(1)=.7′)
• ANS =
• 7∗X^2 − 7∗T∗X^2 + 7/10
• >>

61. • >> SYMS X Y
• >> INT(INT(X^2+Y^2,Y,0,SIN(X)),0,PI)
• ANS =
• PI^2 − 32/9
• >>
• >> %%%1/(S^4+5S^3+7S^2)
• >>
• >> B=[0 0 0 0 1];
• >> A=[1 5 7 0 0];
• >> [R,P,K]=RESIDUE(B,A)
• R =
• 0.0510 − 0.0648I
• 0.0510 + 0.0648I
• −0.1020 + 0.0000I
• 0.1429 + 0.0000I
• P =
• −2.5000 + 0.8660I
• −2.5000 − 0.8660I
• 0.0000 + 0.0000I
• 0.0000 + 0.0000I
• K =
• []
• >>

62. • >> SYMS S
• >> F=1/(S^4+5S^3+7S^2);
• F=1/(S^4+5S^3+7S^2);
• |
• ERROR: UNEXPECTED MATLAB EXPRESSION.
• >> F=1/(S^4+5∗S^3+7∗S^2);
• >> ILAPLACE(F)
• ANS =
• T/7 + (5∗EXP(−(5∗T)/2)∗(COS((3^(1/2)∗T)/2) +
(11∗3^(1/2)∗SIN((3^(1/2)∗T)/2))/15))/49 −
• 5/49
• >>
• >>
%(5∗S^2+3∗S^+6)/(S^4+3∗S^3+7∗S^2+9∗S+12)
• >> B=[5 3 6];
• >> A=[1 3 7 9 12];
• >> [R,P,K]=RESIDUE(B,A)
• R =
• −0.5357 − 1.0394I
• −0.5357 + 1.0394I
• 0.5357 − 0.1856I
• 0.5357 + 0.1856I
• P =
• −1.5000 + 1.3229I
• −1.5000 − 1.3229I
• 0.0000 + 1.7321I
• 0.0000 − 1.7321I
• K =
• []

63. • >> F=TF(B,A);
• >> ILAPLACE(F)
• UNDEFINED FUNCTION ′ILAPLACE′ FOR INPUT
• ARGUMENTS OF TYPE ′TF′.
• >>
ILAPLACE((5∗S^2+3∗S^+6)/(S^4+3∗S^3+7∗S^2+9∗S+12))
• ANS =
• (72∗COS(3^(1/2)∗T))/7 + 6∗DIRAC(T) −
(8∗3^(1/2)∗SIN(3^(1/2)∗T))/7 − 9∗DIRAC(1, T) +
• 3∗DIRAC(2, T) +
(54∗EXP(−(3∗T)/2)∗(COS((7^(1/2)∗T)/2) −
(31∗7^(1/2)∗SIN((7^(1/2)∗T)/2))
• /27))/7
• >>
• >> SYMS X
• >> LIMIT(SIN(X),X,0)
• ANS =
• 0
• >> LIMIT(ABS(X)/X,X,0,′LEFT′)
• ANS =
• −1
• >> LIMIT((1−COS(X))/X^2,X,0)
• ANS =
• 1/2
• >>

64. • >> SYMS X Y Z
• >> JACOBIAN([SIN(X∗Y) COS(Y∗Z) EXP(X∗Y∗Z)],[X,Y,Z]);
• >> JACOBIAN([SIN(X∗Y) COS(Y∗Z) EXP(X∗Y∗Z)],[X,Y,Z])
• ANS =
• [ Y∗COS(X∗Y), X∗COS(X∗Y) , 0]
• [ 0, −Z∗SIN(Y∗Z), −Y∗SIN(Y∗Z)]
• [ Y∗Z∗EXP(X∗Y∗Z), X∗Z∗EXP(X∗Y∗Z), X∗Y∗EXP(X∗Y∗Z)]
• >>
• >> N=100;
• LINSPACE(−3,3,N);
• X=LINSPACE(−3,3,N);
• Y=LINSPACE(−3,3,N);
• Z=LINSPACE(−3,3,N);
• [X,Y,Z]=NDGRID(X,Y,Z);
• F=((−(X.^2).∗(Z.^3)−(9/80).∗(Y.^2).∗(Z.^3))+((X.^2)+(9/4).∗(Y.^2)+(Z.^2)−1).^3);
• >> ISOSURFACE(F,0)
• >> LIGHTING PHONG
• >> CAXIS
• ANS =
• −1 1
• >> AXIS EQUAL
• >> COLORMAP(′FLAG′);
• >> VIEW([55 10]);
• >>

65. • >> X=−2.9:.2:2.9;
• >> Y=EXP(−X.∗X);
• >> BAR(X,Y)
• >>
• >> X=0:.25:10;
• >> Y=SIN(X);
• >> STAIRS(X,Y)
• >>

66. • >> X=−2:.1:2;
• >> Y=ERF(X);
• >> EB=RAND(SIZE(X))7;
• EB=RAND(SIZE(X))7;
• |
• ERROR: UNEXPECTED MATLAB EXPRESSION.
• DID YOU MEAN:
• >> EB = RAND(SIZE(X))∗7;
• >> ERRORBAR(X,Y,EB)
• >>
• >> THETA=0:.1:2∗PI;
• >> RHO=ABS(SIN(2∗THETA).∗COS(2∗THETA));
• >> POLARPLOT(THETA,RHO)
• UNDEFINED FUNCTION OR VARIABLE ′POLARPLOT′.
• >> POLAR(THETA,RHO)
• >>

67. • >> THETA=0:.1:2∗PI;
• >> RHO=ABS(SIN(2∗THETA).∗COS(2∗THETA));
• >> POLARPLOT(THETA,RHO)
• UNDEFINED FUNCTION OR VARIABLE ′POLARPLOT′.
• >> POLAR(THETA,RHO)
• >> POLT(THETA,RHO)
• UNDEFINED FUNCTION OR VARIABLE ′POLT′.
• DID YOU MEAN:
• >> PLOT(THETA,RHO)
• >>
• >> X=0:.1:4;
• >> Y=SIN(X.^2).∗EXP(−X);
• >> STEM(X,Y)
• >>

68. • >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >>
• >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >> Z=PEAKS(100);
• >> MESH(Z)
• >>

69. • >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >> Z=PEAKS(100);
• >> MESH(Z)
• >> COLORMAP(JET)
• >>
• >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >> Z=PEAKS(100);
• >> MESH(Z)
• >> COLORMAP(JET)
• >> COLORMAP(PARULA)
• >>

70. • >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >> Z=PEAKS(100);
• >> MESH(Z)
• >> COLORMAP(JET)
• >> COLORMAP(PARULA)
• >> COLORMAP(HSV)
• >>
• >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >> Z=PEAKS(100);
• >> MESH(Z)
• >> COLORMAP(JET)
• >> COLORMAP(PARULA)
• >> COLORMAP(HSV)
• >> COLORMAP(HOT)
• >>

71. • >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >> Z=PEAKS(100);
• >> MESH(Z)
• >> COLORMAP(JET)
• >> COLORMAP(PARULA)
• >> COLORMAP(HSV)
• >> COLORMAP(HOT)
• >> COLORMAP(COOL)
• >>
• >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >> Z=PEAKS(100);
• >> MESH(Z)
• >> COLORMAP(JET)
• >> COLORMAP(PARULA)
• >> COLORMAP(HSV)
• >> COLORMAP(HOT)
• >> COLORMAP(COOL)
• >> COLORMAP(SPRING)
• >>

72. • >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >> Z=PEAKS(100);
• >> MESH(Z)
• >> COLORMAP(JET)
• >> COLORMAP(PARULA)
• >> COLORMAP(HSV)
• >> COLORMAP(HOT)
• >> COLORMAP(COOL)
• >> COLORMAP(SPRING)
• >> COLORMAP(SUMMER)
• >>
• >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >> Z=PEAKS(100);
• >> MESH(Z)
• >> COLORMAP(JET)
• >> COLORMAP(PARULA)
• >> COLORMAP(HSV)
• >> COLORMAP(HOT)
• >> COLORMAP(COOL)
• >> COLORMAP(SPRING)
• >> COLORMAP(SUMMER)
• >> COLORMAP(AUTUMN)
• >>

73. • >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >> Z=PEAKS(100);
• >> MESH(Z)
• >> COLORMAP(JET)
• >> COLORMAP(PARULA)
• >> COLORMAP(HSV)
• >> COLORMAP(HOT)
• >> COLORMAP(COOL)
• >> COLORMAP(SPRING)
• >> COLORMAP(SUMMER)
• >> COLORMAP(AUTUMN)
• >> COLORMAP(WINTER)
• >>
• >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >> Z=PEAKS(100);
• >> MESH(Z)
• >> COLORMAP(JET)
• >> COLORMAP(PARULA)
• >> COLORMAP(HSV)
• >> COLORMAP(HOT)
• >> COLORMAP(COOL)
• >> COLORMAP(SPRING)
• >> COLORMAP(SUMMER)
• >> COLORMAP(AUTUMN)
• >> COLORMAP(WINTER)
• >> COLORMAP(GRAY)
• >>

74. • >> Z=PEAKS(25);
• >> FIGURE
• >> MESH(Z)
• >> Z=PEAKS(100);
• >> MESH(Z)
• >> COLORMAP(JET)
• >> COLORMAP(PARULA)
• >> COLORMAP(HSV)
• >> COLORMAP(HOT)
• >> COLORMAP(COOL)
• >> COLORMAP(SPRING)
• >> COLORMAP(SUMMER)
• >> COLORMAP(AUTUMN)
• >> COLORMAP(WINTER)
• >> COLORMAP(GRAY)
• >> SHADING INTERP
• >>
• >> CONTOUR(Z,16)
• >> COLORMAP(JET)
• >>

75. • >> X=−2:.2:2;
• >> Y=−1:.2:1;
• >> [XX,YY]=MESHGRID(X,Y);
• >> ZZ=XX.∗EXP(−XX.^2−YY.^2);
• >> [PX,PY]=GRADIANT(ZZ,.2,.2);
• UNDEFINED FUNCTION OR VARIABLE ′GRADIANT′.
• DID YOU MEAN:
• >> [PX,PY]=GRADIENT(ZZ,.2,.2);
• >> QUIVER(X,Y,PX,PY)
• >>
• >> X=−2:.2:2;
• >> Y=−1:.2:1;
• >> [XX,YY]=MESHGRID(X,Y);
• >> ZZ=XX.∗EXP(−XX.^2−YY.^2);
• >> [PX,PY]=GRADIANT(ZZ,.2,.2);
• UNDEFINED FUNCTION OR VARIABLE ′GRADIANT′.
• DID YOU MEAN:
• >> [PX,PY]=GRADIENT(ZZ,.2,.2);
• >> QUIVER(X,Y,PX,PY)
• >> XLIM([−2.5 2.5])
• >>

76. • >> X=−2:.2:2;
• >> Y=−2:.25:2;
• >> Z=−2:.16:2;
• >> [X,Y,Z]=MESHGRID(X,Y,Z);
• >> V=X.∗EXP(−X.^2−Y.^2−Z.^2);
• >> XSLICE=[−1.2,.8,2];
• >> YSLICE=2;
• >> ZSLICE=[−2,0];
• >> SLICE(X,Y,Z,V,XSLICE,YSLICE,ZSLICE)
• >>
• TYPE EQUATION HERE.

77. • TYPE EQUATION HERE. • TYPE EQUATION HERE.