1. Matrix Operations

2. Objectives: N.VM.
6. Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships related in a network.
7. Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.
8. Add, subtract, and multiply matrices of appropriate dimensions.
9. Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.

3. Part II Scalar Multiplication: Row vs. Column
Algebra 2 textbook p. 182
Lab: p. 184
Enrichment: activity

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

5. Examples:

6. Solving a Matrix Equation
Solve for x and y:
Solution
Step 1: Simplify

7. Scalar Multiplication:

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