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=[122212221] 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=[[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^2-4A+I=0

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=[{:(2,3),(1,2):}] satisfies the equation A^(2)-4A+I=O and 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=({:(2,-3),(3,4):}) satisfies the equation A^(2)-6A+17I=O and hence find A^(-1) where I is the identity matrix and O is the null matrix of order 2 times 2 .

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