Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Ch.8.5 Matrix Operations
1. Ch.8.5_MatrixOperations.notebook March 05, 2012
Chapter 8.5
Intro to Matrices
and Matrix Operations
Vocab:
Matrix a rectangular array of numbers
Dimensions # of rows & columns in a matrix
Element individual entry in a matrix
Matrices are "named" Element
with a capital letter
3 4 1
A2x3 = 2 5 3
Dimensions are written
as row x column
Identify the following elements
A12 A23 A11
2. Ch.8.5_MatrixOperations.notebook March 05, 2012
Matrix Operations
Addition/Subtraction
Matrices of the SAME SIZE can be
added or subtracted by adding
corresponding elements
1 5 2 3
A3x2 = 2 2 B3x2 = 5 2
4 3 0 1
1+2 5+3
A+B3x2 = 2+5 2+2 A+B3x2 =
4+0 3+1
Matrix Operations
Scalar Multiplication
Elements of a matrix can be multiplied
by a constant called a scalar
1 5
A3x2 = 2 2
4 3
1(3) 5(3)
3A3x2 = 2(3) 2(3)
4(3) 3(3)
3A3x2 =
