960 CHAPTER 9 Systems and Matrices Find the values of the variables for which each statement is true, if possible. See Examples 1 and 2. 13. c -3 b a 5d = c c 4 0 dd 14. c w 8 x -12d = c 9 y 17 z d 15. c x + 2 z - 3 y - 6 w + 5d = c -2 0 8 3d 16. c 6 b + 2 a + 3 9 d = c c - 3 -2 4 d - 4d 17. 3x y z4 = 321 64 18. £ p q r§ = c 3 -9d 19. £ 0 -1 4 5 3 1 x y + 2 z § = £ 0 -1 4 w 3 1 6 0 8§ 20. £ 5 2 6 x - 4 -3 0 9 8 5§ = £ y + 3 z + 4 6 2 -3 0 9 8 w§ 21. c -7 + z 6p 4r 2 8s 5 d + c -9 2 8r 5 3 4d = c 2 20 36 7 27 12ad 22. c a + 2 8k 3z + 1 0 5m 3 d + c 3a 2k 2z 5 5m 6 d = c 10 10 -14 5 80 9d 23. Your friend missed the lecture on adding matrices. Explain to him how to add two matrices. 24. Explain how to subtract two matrices. Find each sum or difference, if possible. See Examples 2 and 3. 25. c -4 12 3 -6d + c 2 5 -8 10 d 26. c 9 -8 4 2d + c -3 -4 2 7d 27. c 6 4 -9 1 2 3d + c -8 6 2 -3 5 4d 28. £ 4 7 -6 -3 2 8§ + £ 9 0 -1 -10 5 6§ 29. 32 4 64 + £ -2 -4 -6§ 30. £ 3 1 0§ + c 2 -6d 31. c -6 0 8 0d - c 0 -4 0 -2d 32. c 11 -4 0 0d - c 0 0 12 -14d 33. £ 12 -1 3§ - £ 8 4 -1§ 34. 310 -4 64 - 3-2 5 34 35. 3-4 34 - 35 8 24 36. 34 64 - c 2 3d 37. ≥ 23 2 -8 -4 -25 28¥ - ≥ 223 -2 -7 925 322¥ 38. c 2 3228 27 -6 d - c -1 227 527 2 d 39. c 3x + y x + 2y -2y 3yd + c 2x 5x 3y x d 40. ≥ 4k - 8y 6z - 3x 2k + 5a -4m+ 2n¥ - ≥ 5k + 6y 2z + 5x 4k + 6a 4m- 2n¥
RkJQdWJsaXNoZXIy NjM5ODQ=