1. Matrix Operations
SpringSemester 2017

2. Is a rectangular array of numbers in rows and columns
Matrix (matrices)
Is a rectangular array of numbers in rows and columns
Column 1
Column 2
Column 3
Column 4
Row 1
DEFINITION
Row 2
Row 3
Row m

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

4. PRACTICE: Find the dimensions.
3 X 2
2 X 2
3 X 3
1 X 2
2 X 1
1 X 1

5. ADDITION and SUBTRACTION of
MATRICES

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

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

8. PRACTICE PROBLEMS:

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

10. Examples:

11. What are your
QUESTIONS?

12. Find the additive inverse:
Additive inverse of a matrix. The matrix obtained by changing the sign of every matrix element. The sum of a matrix and its additive inverse is the zero matrix.

13. ADDITIVE INVERSE OF A MATRIX:

14. Find the additive identity:
The identity property of addition states that when zero is added to any real number, the number does not change.

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

16. Scalar Multiplication:

17. 6x+8=26
6x=18
x=3
10-2y=8
-2y=-2
y=1

18. Questions???!!!!

19. Assignment