1. Algebra 2 4.1 Matrix Operations

2. Definition Matrix-A rectangular arrangement of numbers in rows and columns Dimensions- number of rows then columns Entries- The numbers Equal Matrices- their dimensions are the same and the entries in corresponding positions are equal.

3. Example

4. Examples

5. Adding and Subtracting To add or subtract matrices, add or subtract corresponding entries. Note: you can only add or subtract matrices if they have the same dimensions

6. Examples

8. Definition Scalar- A real number Scalar Multiplication- multiplying a number by a real number To multiply a matrix by a scalar (scalar multiplication): multiply each entry in the matrix by the scalar

9. Examples

11. Solving Matrix Equations

12. Properties of Matrix Operations