1. MATRICES MATTER!

2. What is a Matrix?
A Matrix allows you to organize data from a chart of any kind.
Season
Basketball Statistics
Pts / Game
Rebounds/Game
Assists/Game
Steals/Game
University of Virginia
67.9
37.4
11.3
5.6
Virginia Tech
68.7
31.7
13.0
9.1

3. Types of Matrices
A matrix is described by the numbers of rows and columns it has, specifically called the dimensions of the matrix. The number of rows is stated first.
9 3 6
-4 2
0 1
3 -6
3 X 3
3 X 2
4 X 4

4. State the dimension of each matrix on the overhead.
PRACTICE!
State the dimension of each matrix on the overhead.

5. The Elements of a Matrix
An element of a matrix is each individual entry.
This element is in the first row and third column.
9 3 6
-4 2
0 1
3 -6
This element is in the second row and second column.
This element is in the third row and first column.

6. ADDING
MATRICES

7. If two matrices have the same dimensions, you can add them
If two matrices have the same dimensions, you can add them. If they do not have the same dimensions, it is impossible to add them. 3 7 2 3 1 4 + = 6 3 5 1 3

8. SUBTRACTING
MATRICES

9. If two matrices have the same dimensions, you can also subtract them
If two matrices have the same dimensions, you can also subtract them. If they do not have the same dimensions, it is impossible to subtract them. 2 4 1 3 1 1 - = 5 3 1 4 3

10. SCALAR
MULTIPLICATION
MATRIX

11. When you perform Scalar Multiplication, you multiply any matrix by a constant called a scalar.6 12 2 4 = 3 5 3 15 9
The scalar