2. Unit 1-6: Operations with Matrices

3. How could we organize the data?

4. How would you organize the date?

6. Concept

7. Add and Subtract Matrices Substitution Add corresponding elements. Simplify. Answer:

8. Add and Subtract Matrices Answer: Since the dimensions of A are 2 × 3 and the dimensions of B are 2 × 2, these matrices cannot be subtracted. –

9. Example 2 A. B. C. D.

10. Concept

11. Example 3 Multiply a Matrix by a Scalar Substitution

12. Example 3 Multiply a Matrix by a Scalar Multiply each element by 2. Answer: Simplify.

13. Concept

14. Example 4 Multi-Step Operations Perform the scalar multiplication first. Then subtract the matrices. Substitution Distribute the scalars in each matrix. 4A – 3B

15. Example 4 Multiply. Subtract corresponding elements. Answer: Simplify. Multi-Step Operations

16. Example 4 A. B. C. D.

17. Example 5 Use Multi-Step Operations with Matrices BUSINESS A small company makes unfinished desks and cabinets. Each item requires different amounts of hardware as shown in the matrices. DESK ShortLong Nails Screws CABINET ShortLong Nails Screws The company has orders for 3 desks and 4 cabinets. Express the company’s total needs for hardware in a single matrix.

18. Example 5 Use Multi-Step Operations with Matrices Write matrices. Multiply scalars. Add matrices. Answer:

19. Example 5 Use Multi-Step Operations with Matrices Write matrices. Multiply scalars. Add matrices. ShortLong Nails Screws Answer:

20. Assignment Pg. 175-177 #2,3,5,8,10,12,13,26,30,33