If `A^-1` = `[[3,-1,1],[-15,6,-5],[5,-2,2]]` and `B`= `[[1,2,-2],[-1,3,0],[0,-2,1]]`, find `(AB)^-1`.

If A = [[1,1,-1],[2,0,3],[3,-1,2]], B = [[1,3],[0,2],[-1,4]] and C = [[1,2,3,-4],[2,0,-2,1]] , find A(BC) , (AB)C and show that (AB)C = A(BC)

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= [[2,0,1],[2,1,3],[1,-1,0]] , find A^2-5A+6I=O

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],[2,3,1]] and B = [[3,-1,3],[-1,0,2]] , then find 2A – B.

If A=[[0, 1,2],[1,2,3],[3,a,1]]and A^(-1)[[1//2,-1//2,1//2],[-4,3,b],[5//2,-3//2,1//2]] then

If A = [[2,0,1],[2,1,3],[1,-1,0]] then find A^2-5A+6I .

If A = [[2,0,1],[2,1,3],[1,1,0]] then find A^2-2A+5I .

If A = [[1,-2,3],[-4,2,5]] and B = [[2,3],[4,5],[2,1]] , then find AB, BA. Show that AB ne BA

Given A = [[sqrt3,1,-1],[2,3,0]] and B = [[2,sqrt5,1],[-2,3,1/2]] find A + B