2.If `A=[[i,0],[0,-i]]` and `B=[[0,i],[i,0]],` find `AB`.

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

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

If A=[[i,0], [0,i]] , write A^2 .

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=[[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= [[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):}] and I=[{:(,1,0),(,0,1):}] ,find A^2-5A+7I .

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

If P=[(i,0,-i),(0,-i,i),(-i,i,0)] and Q=[(-i,i),(0,0),(i,-i)] then PQ is equal to (A) [(-2,2),(1,-1),(1,-1)] (B) [(2,-2),(-1,1),(-1,1)] (C) [(2,2),(-1,1)] (D) [(1,0,0),(0,1,0),(0,0,1)]

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