1. 2.3 MODELING REAL WORLD DATA WITH MATRICES By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

2. Recall: Systems of Equations Solve by graphing: Solve by substitution : Solve by elimination :

3. What do matrices do?

4. Addition and Subtraction of matrices Matrices of the SAME dimensions may be added or subtracted. Corresponding elements are combined by the given rule. Scalar multiple: a constant multiplied by each element in a matrix

5. Example 1:Find the sum/difference for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

6. Example 1:Find the sum/difference for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

7. Multiplying Matrices Matrix multiplication requires matching rows and columns to make proper dimensions. Product each corresponding term and sum the entire row/column.

8. Example 2:Find the product for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

9. Example 2:Find the product for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

10. Example 2:Find the product for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip. 10 7 -12 6

11. Example 2:Find the product for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

12. Example 2:Find the product for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

13. Example 2:Find the product for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip. -5 12 -5 -2 -10 6

14. Summary By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

15. Summary By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.