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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.

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10/8/12 Notes Worksheet for practice

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  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

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