If `A=|[2,-1,1],[-1,2,-1],[1,-1,2]|` then find `A^3-6A^2+10A-AI`

If A= [(1,1,3),(5,2,6),(-2,-1,-3)] then find A^(14)+3A-2I

if A[{:(1,3,2),(2,0,3),(1,-1,1):}], then find A^(3)-2A^(2)+A-I_(3).

If A=[2-1 1-1 2-1 1-1 2] . Verify that A^3-6A^2+9A-4I=O and hence find A^(-1) .

Let A+2B=[(1,2,0),(6,-3,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,2)], then find tr(A)-tr(B).

If A=[[1,2,3],[-1,0,2],[1,-3,1]], B=[[4,5,6],[-1,0,1],[2,1,2]], C=[[-1,-2,1],[-1,2,3],[-1,-2,2]] find A-2B+3C

Let A=[[1, 1,3], [5, 2,6],[-2,-1,-3]] . Find t r(A^(2012))

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

If A'=[(-2,3),(1,3)] and B=[(-1,0),(1,2)], find [A+2B]'.

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)

find the rank of matrix A=[[2,-1,-2,-4],[1,3,-1,-1],[3,1,-1,-1],[6,3,0,-7]]