Solve the following equations by matrix method.
If `A = [(2,-1,1),(-1,2,-1),(1,-1,2)]` verify that `A^(3) - 6A^(2) + 9A = 4 I = 0` 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=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) .

Solve the following equations by matrix method. For the matrix A = [(1,1,1),(1,2,-3),(2,-1,3)] . Show that A^(3) - 6A^(2) + 5A + 11 I = 0 . Hence, find A^(-1) .

If A=[{:(2,-1,1),(-1,2,-1),(1,-1,2):}] Verify the result A^3-6A^2+9A-4I=O and 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=[[2,-1, 1],[-1 ,2,-1],[ 1, 1, 2]] .Verify that A^3-6A^2+9A-4I=0 and hence find A^(-1) .