" For the matrix "A=[[1,2,2],[2,1,2],[2,2,1]]." Show that "A^(2)-4A-51=0." Hence find "A^(-1)

For the matrix A=[{:(1,2,2),(2,1,2),(2,2,1):}] . Show that A^2-4A-5I=0 Hence find A^(-1)

For the matrix A= [[1,1,1],[1,2,-3],[2,-1,3]] show that A^3-6A^2+5A+11I=0. 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)

If A=[{:(1,2,2),(2,1,2),(2,2,1):}] , then show that A^(2)-4A-5I_(3)=0 . Hemce 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)

If A=[[1,2,2],[2,1,2],[2,2,1]] show that A^2-4A is a scalar matrix.

If A=|{:(1,2,2),(2,1,2),(2,2,1):}| , then show that A^(2)-4A-5I_(3)=0 . Hemce find A^(-1) .

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

If A = [[3,1],[-1,2]] ,show that A^2-5A + 7I=0 Hence, find A^(-1)