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HW 2 due TBA 1 Determine whether the given pair of matrices are inverses of each other. 1 2 5 -2 A)[2 siansz 1] 2+i

HW 2 due TBA 1 Determine whether the given pair of matrices are inverses of each other. 1 2 5 -2 A)[2 siansz 1] 2+i -2 l 64i 10+2i B) and - l lz 26 -5-1 9+71 l O -4 -4 l 2 3 C)E-3 -l 8 and -3 -2 -l , 6 2 -4 0 2 l 1 if i=j D)[-65j]and[-85j ], where Bu: .Assume both matrices arenxn. 0 If nt] 2. Compute the inverse of the given (invertible) matrix. 0.5 3 A) A = l 4 3 4 l NUIN 1 B)A= 4 3 3. Determine whether the given matrix is invertible l -l l 0 2 li ML 1] B>[o 0] c>[1+,-1] -101 20-1 -21 D)011]E)023 F)42 20-1 444 0 1-205 G)0260 0003 -3220 (HW 2 continues) 3.5. Solve the given linear system. Show all necessary details. 123x11 A)454x2=-l 321x3 2 3 -l 2 xl 4 B) 2 l 3 x2 = -3 -l 2 1 x3 -7 4. True or False? For any square matrices A = A and B = B , (A + B)T = AT + BT. Justify. IIXII "XII

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