Unit 1 6 Operations with Matrices How could

Unit 1 -6: Operations with Matrices

How could we organize the data?

How would you organize the date?

Concept

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

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.

Example 2 A. B. C. D.

Concept

Example 3 Multiply a Matrix by a Scalar Substitution

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

Concept

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

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

Example 4 A. B. C. D.

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. CABINET DESK Short Long Nails Screws The company has orders for 3 desks and 4 cabinets. Express the company’s total needs for hardware in a single matrix.

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

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

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