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 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 .

Find the inverse of each of the matrices given below : Show that the matrix A=[(-8,5),(2,4)] satisfies the equation A^(2)+4A-42I=0 and hence find A^(-1) .

Show that the matrix A=[122212221] satisfies the equation A^(2)-4A-5I_(3)=O and hence find A^(-1) .

Show that A = [[1,2,2],[2,1,2],[2,2,1]] satrisfies the matrix equation A^2-4A-5I_3 =0

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

show that matrix A = [(3,4),(1,2)] satisfies the equation A^2-5A+2I=0

Show that A=[{:(5,3),(-1,-2):}] satisfies the equation A^(2)=3A-7I=0 and hence find A^(-1) .

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) .