1. AIM: How do we perform basic matrix operations? DO NOW:  Describe the steps for solving a system of Inequalities  How do you know which region is shaded?

2. Section 3.5 – Basic Matrix Operations  Using basic operations with matrices is simple, but takes practice  Like we saw in 3.4, a MATRIX is an arrangement of values in rows and columns  The dimensions of a matrix are indicated by the # of rows and # of columns  m X n where m is number of rows and n is the number of columns

3. Section 3.5 - Matrices  For examples: This is a 2 X 2 matrix This is a 3 X 3 matrix

4. HOW DO WE READ MATRICES? The Element in the first row and third column is 5 2 rows 3 columns We read this as 2 by 3.

5. Section 3.5 – Adding, Subtracting, Scalar Multiplication of Matrices  In order to add or subtract, two matrices must have the same dimensions!

6. Adding and Subtracting Methods 

7. Scalar Multiplication 

8. Let Work on the Worksheet

9. Homework for Section 3.5  Matrix Worksheet  p.191-192  #1-3, 7-9, 10-22(Even), 25, 26, 31, 34

10. Section 3.6 Multiply Matrices

11. Section 3.6 – Multiplying Matrices  Like we saw in 3.5, a MATRIX is an arrangement of values in rows and columns  The dimensions of a matrix are indicated by the # of rows and # of columns  m X n where m is number of rows and n is the number of columns  To multiply two matrices, one condition must be met:  the # of columns of the 1 st matrix must equal the # of rows of the 2 nd matrix

12. Section 3.6 - Matrices  For examples: Can these be multiplied? Can these be multiplied?