If `A=[[1,2,2],[2,1,2],[2,2,1]]` then show that `A^(2)-4A-5I=0`

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=0 and hence find A^(-1)

If A=[(1, 2 ,2 ),(2 ,1 ,2),( 2 ,2, 1)] , then prove that A^2-4A-5I=O .

If A=[[1,2],[4,2]] , then show that |2A|=4|A|

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] , then show that A^2-4A-5I=O ,w h e r eIa n d0 are the unit matrix and the null matrix of order 3, respectively. Use this result to find A^(-1)dot

If A+I={:[(2,2,3),(3,-1,1),(4,2,2)]:} then show that A^(3)-23A-40I=0

If A=[(1,2),(2,1)] show that A^(2)-3I=2A

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

If A=[{:(1,2),(4,2):}] , then show that |2A|=4|A|.