1 / 23

10/8/12 Notes Worksheet for practice

10/8/12 Notes Worksheet for practice HW: Page 175 # 13, 14, 17, 18, 21, 24, 26, 34 AND continue work on your project – DUE tomorrow!. T R/B E. ISU UI UNI. Analyze Data with Matrices.

ianthe
Download Presentation

10/8/12 Notes Worksheet for practice

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 10/8/12 • Notes • Worksheet for practice • HW: Page 175 # 13, 14, 17, 18, 21, 24, 26, 34 AND continue work on your project – DUE tomorrow!

  2. T R/B E ISU UI UNI Analyze Data with Matrices A. Use the matrix below that includes information on tuition (T), room and board (R/B), and enrollment (E) for three universities. Find the average of the elements in column 1, and interpret the result. Example 1

  3. Analyze Data with Matrices Answer:The average tuition cost for the three universities is $5935. Example 1

  4. T R/B E ISU UI UNI Analyze Data with Matrices B. Use the matrix below that includes information on tuition (T), room and board (R/B), and enrollment (E) for three universities. Which university’s total cost is the lowest? Example 1

  5. Analyze Data with Matrices ISU = 6160 + 5958 = $12,118 UI = 6293 + 7250 = $13,543 UNI= 5352 + 6280 = $11,632 Answer:University of Northern Iowa Example 1

  6. T R/B E ISU UI UNI Analyze Data with Matrices C. Use the matrix below that includes information on tuition (T), room and board (R/B), and enrollment (E) for three universities. Would adding the elements of the rows provide meaningful data? Explain. Answer:No, the first two elements of a row are in dollars and the third is in numbers of people. Example 1

  7. T R/B E ISU UI UNI Analyze Data with Matrices D. Use the matrix below that includes information on tuition (T), room and board (R/B), and enrollment (E) for three universities. Would adding the elements of the third column provide meaningful data? Explain. Answer:Yes, the sum of the elements of the third column would be the total enrollment of all three schools. Example 1

  8. Concept

  9. Answer: Add and Subtract Matrices Substitution Add corresponding elements. Simplify. Example 2

  10. – 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

  11. A. B. C. D. Example 2

  12. A. B. C. D. Example 2

  13. Concept

  14. Multiply a Matrix by a Scalar Substitution Example 3

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

  16. A.B. C.D. Example 3

  17. Concept

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

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

  20. A. B. C. D. Example 4

  21. CABINET DESK Short Long Short Long Nails Nails Screws Screws 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. The company has orders for 3 desks and 4 cabinets. Express the company’s total needs for hardware in a single matrix. Example 5

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

  23. A.B. C.D. Blue Yellow Green Blue Yellow Green Course A Course B Course C Course A Course B Course C Miniature golf course A has 50 blue golf balls, 100 yellow golf balls, and 50 green golf balls. Miniature golf course B has 150 blue golf balls, 100 yellow golf balls, and 25 green golf balls. Miniature golf course C has 40 blue golf balls, 70 yellow golf balls, and 80 green golf balls. Express the total number of each color golf ball in a single matrix. Example 5

More Related