5. Does matrix multiplication commute? That is, does AB = BA? If so, prove why it does. If not, explain why it does not. Algebraic For the following exercises, use the matrices below and perform the matrix addition or subtraction. Indicate if the operation is undefined. 5 10 14 0 2 . E = [19 13 . F- 78 17 12 6 5 61 15 4 6. A+ 8 Z.C+ D 84+6 9. B - E 10. 6 + F For the following exercises, use the matrices below to perform scalar multiplication. 3 9 18 12 13 A = 4 6 16 3 7 18 12 , B= 21 12 , C= , D = 8 14 90 5 3 29 6 0 64 7 4 21 12. JA 13. 3 BE. 1139.!) For the following exercises. use the matrices below to perlorr'n matrix multiplication. 15 3 6 4 4 m 2 3 12 A=[_3 2].B=l 3 012],C= 2 5.1.): 9 3 1 5 9 o s 10 For the following exercises, use the matrices below to pertorrn the indicated operation if possible. If not possible, explain why the operation cannot be performed. 2 5 96 {)9 475 4 5 3 A=l _],B=[ ],c=[ 1,1): 43 2.13:75 5 s "r 42 71 09 2 1 o 9 W _5.4A+5D m 2?. 3.!) + 4E 29. 100D-10E For the following exercises, use the matrices below to perform the indicated operation if possible. If not possible, explain why the operation cannot be performed. (Hint: A2 = A . A ) O -10 20 A = 5 25 . B= _20 30 . C = 0 90. AB 31 BA 82. CA 33. BC 34. 43 36. 62 37. B2 A2 38. AB2 99. (AD) 40. (BA)For the following exercises, use the matrices below to perform the indicated operation if possible. If not possible, explain why the operation cannot be performed (Hint: A2 = A . A l 10 234 (150.1 10] A:[ ],B=[ 1,0: 10.2 ,1): 6 \"I 5 2 3 1 1 5 415 0.3 4 2 1 4_1.AB 4-2.B:+ E'BB- ear-ac: J)? 451-14? H W E. A(BC) Technology For the following exercises, use the matrices below to perform the indicated operation if possible. If not possible, explain why the operation cannot be performed. Use a calculator to verify your solution. -2 0 9 0.5 3 0 1 0 1 A = 1 8 -3 ,B= -4 1 6 , C = 0 1 0.5 4 7 2 1 0 50 AB 51. BA 52. CA 53. BC 54. ABC Extensions For the following exercises, use the matrix below to perform the indicated operation on the given matrix. 1 0 07 B = 0 0 0 0 56. B2 50. ;3 57. B4