Ch. 12 Vocabulary 1.) matrix 2.) element 3.) scalar 4.) scalar multiplication

Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4

A matrix of m rows and n columns is called a matrix with dimensions m x n. 2 X 3 3 X 3 2 X 1 1 X 2

3 X 22 X 23 X 3 1 X 22 X 11 X 1

To add matrices, we add the corresponding elements. They must have the same dimensions. A + B

When a zero matrix is added to another matrix of the same dimension, that same matrix is obtained.

To subtract matrices, we subtract the corresponding elements. The matrices must have the same dimensions.

Scalar Multiplication: We multiply each # inside our matrix by k.

ADDITIVE INVERSE OF A MATRIX:

Find the additive inverse:

Scalar Multiplication:

6x+8=26 6x=18 x=3 10-2y=8 -2y=-2 y=1

Associative Property of Addition (A+B)+C = A+(B+C) Commutative Property of Addition A+B = B+A Distributive Property of Addition and SubtractionS(A+B) = SA+SB S(A-B) = SA-SB NOTE: Multiplication is not included!!!