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Unit 6 Evaluation 348 MTHH 039 6. Columns in matrix A = 8 2] show, respectively, the numbers of erasers and pencils sold. The rows show, respectively, the numbers sold on Monday and Tuesday. Matrix B = 0.50 0.25 shows the 50 cent cost of one eraser and the quarter cost of one pencil. What does the product AB show? a. the total paid for erasers on Monday and Tuesday and the total paid for pencils on Monday and Tuesday b. the total paid for erasers and pencils on Monday and the total paid for erasers and pencils on Tuesday c. the total amount paid for pencils and erasers on Monday d. the cost of 1 pencil and 1 eraser 7. Which product is not defined? a. [2'] [-1 2] b. [=1 3) [-1 2] c. [-1 313 d. [-1 2] 2'] 8. Given P= |4 3 - and Q = [3 3 5 . what is 2P - 3Q? a. 1 -5 3 0 -2 6 b. [17 0 19] 5 6 7 C. -1 12 11 1 6 13 d. 15 9. What is true about [3 8][1 2 2 ] and - 3 [1 7 2] a. They are equal matrices. b. They are opposite matrices. c. Both are matrices for reflection. d. Neither product exists. Unit 6 Evaluation 349 MTHH 03910. What are the coordinates of X (5, 1), Y (-5, -3), and Z (-1, 3) reflected in the line y = x? a. X' (-5, -1), Y' (5, 3), Z' (1, -3) b. X' (1, 5), Y' (-3, -5), Z' (3, -1) c. X' (-1, -5), Y' (3, 5), Z' (-3, 1) d. X' (5, 1), Y' (-5, -3), Z' (-1, 3) 11. Reflection in which line takes the figure with vertices A (0, 0), B (-2, 4), C (-4, 2), and D (-3, 0) to A' (0, 0), B' (-2, -4), C' (-4, -2), and D' (-3, 0)? a. x-axis b. y-axis C. y = X d. y = -x 12. What is the determinant of 5 a. 5 b. 10 c. 15 d. 0 13. What is the determinant of 00 1 - 07 / w a b. C. 3 d. 40 14. If A = and the inverse of A is x 3 , what is the value of x? a W/N N/- b. 10 C. d. Unit 6 Evaluation 350 MTHH 039i 5 of 12 350 MTHH 039 15. If B = 2 0, what is dete "? a. 8 b. -1 2 C. 1 N 16. If Matrix A has an inverse, which of the following must be true? a. AA = / only b. A A = / only c. AA = / and A A = / d. AA" = 1, A"A = 1, and A" | = A 50 0 17. What is the determinant of 0 5 0 ? 0 0 5 a. 5 b. 25 c. 125 d. 155 18. Which matrix has no inverse? 1 0 0 1 0 0 0 1 a. 0 0 b. 0 0 0 C. 0 -1 0 1 0 0 - - O 19. Which matrix equation represents the system x - 3y = -3 -5x + y = 14 d. [14] (x x]=['s 3 ] Unit 6 Evaluation 351 MTHH 039\fUnit 6 Evaluation 354 MTHH 039 31. A polygon has coordinates 0 5 . Which coordinates represent the image after a rotation of 90. a A 0 0 - 5 b. 10 4 0 0 5 C. 0 0 -5 0 4 0 d. 0 0 4 our 32. A polygon has coordinates 0 5 0 3 5 . Which coordinates represent the image after a reflection in the y-axis. a. N 0 O -3 5 b -2 -5 0 0 -5 5 C. 2 -3 0 d. N 0 Un O 33. A polygon has coordinates 7 1 3 Which coordinates represent the image after a translation of 2 units left, 1 unit down. a. 3 1 0 6 0 2 b. 7 5 4 60 2 C. 3 1 0 8 N 4 d. U A Unit 6 Evaluation 355 MTHH 03910 of 12 Unit 6 Evaluation 355 MTHH 039 34. A polygon has coordinates -3 -2 -37. Which coordinates represent the image after a dilation of 2. a. -1.5 -1 -0.5 2 0.5 2.5 b. -5 -4 6 3 -3 7 C. -6 -4 -2 8 2 10 d. -4 -3 w Use this system to answer questions 35-37: |* * \\ 2 + [ 2 2]-[8 :] 35. Find the value of x. a. 4 b. 6 c. 0 d. -2 36. Find the value of z. a. -2 b. 0 c. 4 d. 6 37. Find the value y. a. 0 b. -2 C. 6 d. -4 Use this system to answer questions 38-39: 2, 3 - 8 6'] - [x x] 38. Find the value of y. a. 2 b. -3 c. 1 d. 3 Unit 6 Evaluation 356 MTHH 039