Matrix Prob 1: Prob2: Find the row-reduced echelon matrices that are row-equivalent to the following matrices: a, b, c, d, e, Prob 3: 3 1 2 − 3 A = − 2, B = 2, C = 1 4 − 3 4 − 1 Let , Calculate a, (A+B)+C b, A+(B+C) c, 3A Prob 4: 2 1 − 1 3 2.1 1, 3 6 − 1.− 2 2, 1 1 2 2.2 1 3 1 3, 3 2 1 3 1.2 1 4, − 1 − 1 1 1 0 1 3 0 2.2 3 5, 2 1 .[1 3] 3 6, 7, 2 [1 3].4 1 Prob 5: Calculate the inverse of the following matrices: 1 3 A = 2 3 1 8 1, 1 2 A= 0 2, 1 − 3 A = 0 0 3, 1 − 0 − 3 A= 0 2 0 4, 2 − 1 A= 3 5, − 2 A = − − 2 6, Prob 6: − 1 2 2 1 A= 3, B = 1 − 2, C = − 1 − − 1 3 Verify that (AB)C=A(BC) (association) ... − 1 ? ?3 2.1 1, ? ?3 6 − 1.− 2 2, 1 1 2 2.2 1 3? ?? 1 3, ? ?3 2 1 ? ?3 1.2 1 4, − 1 − 1 1 1 0 1 ? ?3 0 2.2 ? ?3? ?? ... .[1 3] ? ?3? ?? 6, 7, 2 [1 3] .4 1 Prob 5: Calculate the inverse of the following matrices: 1 3? ?? A = 2 3? ?? 1 8 1, 1 2 A= 0 2, 1 − 3? ?? A = 0 0 3, 1 − 0 − 3? ??... A= 0 2 0 4, 2 − 1 A= ? ?3 5, − 2 A = − − 2 6, Prob 6: − 1 2 2 1 A= 3? ??, B = 1 − 2, C = − 1 − − 1 ? ?3 Verify that (AB)C=A(BC) (association)