1. Warm-Up - 8/30/2010
Simplify.
1.)
2.)
3.)
4.)
5.) 56
-40
-40 56 1

2. Agenda 8/30/2010 Warm-Up Notes Perform Basic Matrix Operations
Tue Aug 31
Multiply Matrices
Warm-Up
Notes Perform Basic Matrix Operations
Practice
WEB Sept 1
Multiply Matrices
Thu Sept 2
Review
You MUST have a GRAPHING CALCULATOR for this unit.
Fri Sept 3
Quiz
NON - CALCULATOR

3. 1.8 Perform Basic Matrix Operations
Page 38

4. Matrix (matrices) Row 1 Row 2 Row 3 Row m Column 1 Column 2 Column 3

5. Row, Row, Row then Column
That’s the Matrix way
Entries, Dimensions, Multiplication
It’s row then the column!

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

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

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

9. Not possible – dimensions don’t match

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

12. Multi-Step Problems Solve the matrix equation for x and y:
Equate corresponding elements and solve the two resulting equations

14. Find C + D
Find C + C
Find 3D + 3C
Find D – A

15. Find A + B
Find A + C
Find 2A + 3B
Find D – B

16. Find ½B
Find -5D
Find D – C
Find B – A

17. Practice:
Worksheet #1