If `A=[[1,3,2],[2,0,-1],[1,2,3]]` ,such that `A` satisfies the equation`A^(3)-4A^(2)-3A+kI=O` where `k-2`

Show that the matrix, A=[[1, 0,-2],[-2,-1, 2],[ 3, 4, 1]] satisfies the equation, A^3-A^2-3A-I_3=O . Hence, find A^(-1) .

Show that the matrix A=[2 3 1 2] satisfies the equation A^2-4A+I=0

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) .

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)

Show that the matrix A=[(2, 3), (1, 2)] satisfies the equation A^3-4A^2+A=O .

Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equation A^2-4A-5I_3=0 and hence find A^(-1)

Show that A=[[2,-3],[3,4]] satisfies the equation A^(2)-6A+17=0. Hence find A^(-1)

Show that A=[[2,-3],[3,4]] satisfies the equation A^(2)-6A+17=0 .Hence find A^(-1)

Show that the matrix,A=[10-2-2-12341] satisfies the equation,A^(3)-A^(2)-3A-I_(3)=O. 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) = 0 and hence find A^(-1) .