The document discusses matrix operations including addition, scalar multiplication, and multiplication. Matrix addition involves adding the corresponding elements of matrices of the same size. Scalar multiplication multiplies each element of a matrix by a scalar value. Matrix multiplication involves multiplying the rows of the first matrix by the columns of the second, with the result being a matrix where the number of columns in the first equals the number of rows in the second. Examples are provided to demonstrate each operation.

1. March 07, 2012
8.2 Matrices
Objective: Perform basic operations with
matrices
Standard: Linear Algebra 4.0 and 5.0
1

2. March 07, 2012
What's a Matrix?
2

3. March 07, 2012
Matrix Addition
Ex. 1﴿
3

4. March 07, 2012
Ex. 2﴿
4

5. March 07, 2012
Scalar Multiplication
5

6. March 07, 2012
Ex. 3﴿
6

7. March 07, 2012
Ex. 4﴿
7

8. March 07, 2012
Matrix Multiplication
The sum of the products of rows and
columns
8

9. March 07, 2012
Note: The columns in the first matrix
must match the rows in the second
matrix.
Example:
9

10. March 07, 2012
Ex. 5﴿
10

11. March 07, 2012
Order Matters!!
11

12. March 07, 2012
The Identity Matrix
Basically, 1s on the diagonal
12

13. March 07, 2012
Assignment:
8.2 p. 597
#3, 7, 15, 23, 28, 29, 41, 42
13