Unit 1-6: Operations with Matrices How could we organize the data?
-
Upload
kathleen-atkins -
Category
Documents
-
view
224 -
download
2
description
Transcript of Unit 1-6: Operations with Matrices How could we organize the data?
![Page 1: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/1.jpg)
![Page 2: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/2.jpg)
Unit 1-6: Operations with Matrices
![Page 3: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/3.jpg)
How could we organize the data?
![Page 4: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/4.jpg)
How would you organize the date?
![Page 5: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/5.jpg)
![Page 6: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/6.jpg)
Concept
![Page 7: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/7.jpg)
Add and Subtract Matrices
Substitution
Add corresponding elements.
Simplify.
Answer:
![Page 8: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/8.jpg)
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.
–
![Page 9: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/9.jpg)
Example 2
A.
B.
C.
D.
![Page 10: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/10.jpg)
Concept
![Page 11: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/11.jpg)
Example 3 Multiply a Matrix by a Scalar
Substitution
![Page 12: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/12.jpg)
Example 3 Multiply a Matrix by a Scalar
Multiply each element by 2.
Answer:
Simplify.
![Page 13: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/13.jpg)
Concept
![Page 14: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/14.jpg)
Example 4 Multi-Step Operations
Perform the scalar multiplication first. Then subtract the matrices.
Substitution
Distribute the scalars in each matrix.
4A – 3B
![Page 15: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/15.jpg)
Example 4Multiply.
Subtract corresponding elements.
Answer:
Simplify.
Multi-Step Operations
![Page 16: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/16.jpg)
Example 4
A.
B.
C.
D.
![Page 17: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/17.jpg)
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
Short LongNailsScrews
CABINET
Short
LongNailsScrews
The company has orders for 3 desks and 4 cabinets. Express the company’s total needs for hardware in a single matrix.
![Page 18: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/18.jpg)
Example 5 Use Multi-Step Operations with Matrices
Write matrices.
Multiply scalars.
Add matrices.
Answer:
![Page 19: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/19.jpg)
Example 5 Use Multi-Step Operations with Matrices
Write matrices.
Multiply scalars.
Add matrices.
Short LongNailsScrews
Answer:
![Page 20: Unit 1-6: Operations with Matrices How could we organize the data?](https://reader036.fdocuments.net/reader036/viewer/2022062412/5a4d1aea7f8b9ab05997a6b3/html5/thumbnails/20.jpg)
AssignmentPg. 175-177#2,3,5,8,10,12,13,26,30,33