1. MATRICES
MATRIX OPERATIONS

2. About Matrices
A matrix is a rectangular arrangement of numbers in rows and columns. Rows run horizontally and columns run vertically.
The dimensions of a matrix are stated “m x n” where ‘m’ is the number of rows and ‘n’ is the number of columns.

3. Equal Matrices
Two matrices are considered equal if they have the same number of rows and columns (the same dimensions) AND all their corresponding elements are exactly the same.

4. Matrices

5. Special Matrices

6. Matrix Addition
You can add or subtract matrices if they have the same dimensions (same number of rows and columns).
To do this, you add (or subtract) the corresponding numbers (numbers in the same positions).

7. Matrix Addition

8. Matrix Addition

9. Matrix Subtraction

10. Matrix Subtraction

11. Scalar Multiplication
To do this, multiply each entry in the matrix by the number outside (called the scalar). This is like distributing a number to a polynomial.

12. Scalar Multiplication with Addition

13. Scalar Multiplication
Example:

14. Scalar Multiplication with

15. Scalar Multiplication with