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=[122212221], then show that A^(2)-4A-5I=O, where Iand 0 are the unit matrix and the null matrix of order 3, respectively.Use this result to find A^(-1)

If A=\begin{bmatrix} 1 & 2 & 2\\ 2 & 1 & 2\\ 2 & 2 & 1 \end{bmatrix} , then show that A^2-4A-5I=O ,where I and 0 are the unit matrix and the null matrix of order 3, respectively. Use this result to find A^(-1)dot

If A=[[1,0],[-1,7]] find k so that A^2-8A-kI=O ,where I is a unit matrix and O is a null matrix of oreder 2.

If A=[[1,-3,22,0,-11,2,3]], then show that AA^(3)-4A^(2)-3A+11I=0 where O and I are null and identity matrix of order 3 respectively.

If A = ({:( 1,2,3),( 2,1,2),( 2,2,1) :}) and A^(2) -4A -5l =O where I and O are the unit matrix and the null matrix order 3 respectively if , 15A^(-1) =lambda |{:( -3,2,3),(2,-3,2),(2,2,-3):}| then the find the value of lambda

If A = ({:( 1,2,3),( 2,1,2),( 2,2,1) :}) and A^(2) -4A -5l =O where I and O are the unit matrix and the null matrix order 3 respectively if , 15A^(-1) =lambda |{:( -3,2,3),(2,-3,2),(2,2,-3):}| then the find the value of lambda

If A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}] then show that A^3-3A^2-A-3I=O , where I is unit matrix of order 3

If A= ((2,3),(-1,2)) .Show that A^(2)-4A+7I=0 whwre I is the unit matrix of order 2.

If A = [[2,2],[4,3]] show that A A^(-1) = I_2 where I_2 is the unit matrix of order 2.