" 31.If "A=[[3,2],[2,1]]" ,verify that "A^(2)-4A-I=O" ,and hence find "A^(-1)" ."

Find the inverse of each of the matrices given below : If A=[(3,2),(2,1)] , verify that A^(2)-4A-I=O, and "hence " "find "A^(-1) .

A = [[3,-5],[-4,2]] , verify that A^2 -5A-14I=0, hence find A^(-1)

If A=[(3,2),(2,1)] verify that A^2-4A-I=0 . Hence find A^(-1)

If A=[2-11-12-11-12]. Verify that A^(3)-6A^(2)+9A-4I=O and hence find A^(-1).

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

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,-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,-1, 1],[-1 ,2,-1],[ 1, 1, 2]] .Verify that A^3-6A^2+9A-4I=0 and hence find A^(-1) .

If A=[[5,3],[-1,-2]] , show that A^(2)-3A-7I_(2)=O_(2) Hence find A^(-1) .

Show that the matrix A=[[1 ,2, 2],[ 2, 1, 2],[ 2, 2, 1]] satisfies the equation A^2-4A-5I_3=O and hence find A^(-1) .