If `A= [[1,2,2,],[2,1,2,],[2,2,1,]]` then verify `A^-1A=I`

If A=[[1,2,2],[2,1,2],[2,2,1]] , verify that : A^2-4A-5I=O

If A= [[1,2,2],[2,1,2],[2,2,1]] , find A^2-4A-5I=O

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

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

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 .

If A = [[2,3],[1,-4]], B = [[1,-2],[-1,3]] ,then verify that (AB)^-1 = B^-1A^-1

If A = [[-1,2,3],[5,7,9],[-2,1,1]] and B = [[-4,1,-5],[1,2,0],[1,3,1]] , then verify that (A-B)' = A' - B'

Let A = [[1,-2,1],[-2,3,1],[1,1,5]] Verify that (A^-1)^-1 = A

Let A = [[1,-2,1],[-2,3,1],[1,1,5]] Verify that [adj A]^-1 = adj (A^-1)