If `A=[[3,-2],[4,-2]]`, find x such that `A^2=xA-2I`.Hence find `A^-1`

A = [[3,-5],[-4,2]] , verify that A^2 -5A-14I=0, hence find A^(-1)

A=[[4,32,5]] find x and y such that A^(2)-xA+yI=0

If A=[[5,3],[-1,-2]] , show that A^(2)-3A-7I_(2)=O_(2) Hence find A^(-1) .

Find the inverse of each of the matrices given below : if A=[(3,1),(7,5)] find x and y such that A^(2)=deltaA-2I . Hence , find A^(-1) .

If A=[[4,32,5]], find x and y such that A^(2)-xA+yI=O. Hence,evaluate A^(-1)

If Matrix A= [[5,3],[-1,-2]] , then show that A^2-3A-7I=0 and hence find A^-1 from this equation.

If A =[[2,-3],[3,4]] , show that A^2-6A+17I=0 , Hence find A^-1

If Matrix A= [[2,-1],[3,2]] , then show that A^2-4A+7I=0 and hence find A^-1 from this equation.

If A= {:[(3,-3,4),(2,-3,4),(0,-1,1)] , show that A^4=I , Hence find A^-1