ch.8.5 matrix operations
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Ch.8.5_MatrixOperations.notebook March 05, 2012
Chapter 8.5Intro 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" with a capital letter
A2x3 = 3 4 12 5 3
Dimensions are writtenas row x column
Element
Identify the following elements
A12 A23 A11
Ch.8.5_MatrixOperations.notebook March 05, 2012
Matrix OperationsAddition/Subtraction
Matrices of the SAME SIZE can beadded or subtracted by adding corresponding elements
A3x2 = 1 52 24 3
B3x2 = 2 3 5 2 0 1
A+B3x2 = 1+2 5+3 2+5 2+2 4+0 3+1
Elements of a matrix can be multipliedby a constant called a scalar
Matrix OperationsScalar Multiplication
A3x2 = 1 52 24 3
3A3x2 = 1(3) 5(3)2(3) 2(3)4(3) 3(3)
3A3x2 =
A+B3x2 =
Ch.8.5_MatrixOperations.notebook March 05, 2012
Find the following
3B 2D =
2A + C =
C D =
Ch.8.5_MatrixOperations.notebook March 05, 2012
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