Given `A=[5 0 4 2 3 2 1 2 1]` , `B^(-1)=[1 3 3 1 4 3 1 3 4]` . Compute `(A B)^(-1)` .

Given A=[{:(5,0,4),(2,3,2),(1,2,1):}] , B^(-1)=[{:(1,2,3),(1,4,3),(1,3,4):}] . Compute (AB)^(-1) .

Given A= [[5,0,4],[2,3,2],[1,2,1]] , B^-1 = [[1,3,3],[1,4,3],[1,3,4]] ,find (AB)^-1 .

If A = [(2,1),(5,3)] and B^-1 = [(4,5),(3,4)] , compute (AB)^-1

Given the matrices A=[2 1 1 3-1 0 0 2 4] , B=[9 7-1 3 5 4 2 1 6] and C=[2-4 3 1-1 0 9 4 5] Verify that (A+B)+C=A+(B+C) .

If A=[[1 ,2,-3],[ 5, 0, 2],[ 1,-1, 1]], B=[[3,-1, 2],[ 4, 2 ,5],[ 2, 0, 3]] and C=[[4, 1, 2],[ 0, 3, 2],[ 1,-2, 3]] , then compute (A+B) and (B - C) . Also, verify that A + (B - C) = (A + B) - C .

If A =[[1, 2, -3],[ 5, 0, 2],[ 1, -1, 1]], B=[[3, -1, 2],[ 4, 2, 5],[ 2, 0, 3]] and C=[[4 ,1 , 2],[ 0, 3, 2],[ 1, -2, 3]] then compute (A+B) and (B-C) . Also verify that A+(B-C)=(A+B)-C

If A=[(1, 2, 0 ),(3,-4, 5),( 0,-1, 3)] , compute A^2-4A+3I .

If A=[(1, 2, 0 ),(3,-4, 5),( 0,-1, 3)] , compute A^2-4A+3I_3 .

Compute the indicated products. i) [[a , b],[ -b , a]] [[a, -b],[ b, a]] ii) [[1], [ 2], [3]][[2, 3 ,4]] iii) [[1, (-2)],[ 2 ,3]] [[1 , 2 ,3],[ 2, 3 , 1]] iv) [[2 , 3 , 4 ],[ 3 , 4 , 5 ],[ 4, 5 ,6]] [[1 , -3, 5],[ 0, 2, 4],[ 3, 0, 5]] v) [[2 , 1],[ 3 , 2],[ (-1), 1]] [[1, 0 , 1],[ (-1), 2, 1]] vi) [[3, (-1), 3],[ (-1), 0, 2]][[2, -3],[ 1 , 0],[ 3, 1]]

Compute the indicated products: [a b-b a][a-bb a] (ii) [1-2 2 3][1 2 3-3 2-1] (iii) [2 3 4 3 4 5 4 5 6][1-3 5 0 2 4 3 0 5]