If `A=[[1,0],[k,1]] & I = [[1,0],[0,1]]` and A=I then k is

If A= [[1 , 0],[ − 1, 7]] and I=[[1, 0],[ 0 ,1]] , then find k so that A^2=8A+k I

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

If A A=[[3,-2],[ 4,-2]] and I=[[1, 0],[ 0, 1]] , find k so that A^2=k A-2I .

If A=[[0,i],[i,1]] and B=[[0, 1],[1, 0]] , find the value of |A|+|B| .

If A=[[0,1],[1,0]],B=[[0,-i],[i,0]] and C=[[i,0],[0,-i]] , show that A^2=B^2=-C^2=I_2 and AB=-BA,AC=-CA and BC=-CB .

If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)] , find the scalar k so that A^2 +I = kA .

If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)] , find the scalar k so that A^2 +I = kA .

If A=[ (3,-2),( 4 ,-2) ] and I=[(1,0),(0,1)] , then prove that A^2-A+2I=O .

For 2 times 2 matrices A,B and I, if A+B=I and 2A-2B=I , then A equals 1) [[(1)/(4),0],[0,(1)/(4)]] 2) [[(1)/(2),0],[0,(1)/(2)]] 3) [[(3)/(4),0],[0,(3)/(4)]], 4) [[1,0],[0,1]]

Given A=[{:(,2,0),(,-1,7):}] and I=[{:(,1,0),(,0,1):}] and A^2 =9A+mI . Find m.