If `A=[[1,0,0],[0,1,0],[a,b,-1]]`, find` A^2`

If A=[[-1, 0 ,0], [0,-1, 0], [0, 0,-1]] , find A^2 .

If A=[[-1, 0, 0], [0,-1, 0], [0, 0,-1]] , find A^3 .

If A=[{:(1,0,0),(0,1,0),(a,b,-1):}] then A^(2) is equal to

If A=[{:(1,0,0),(0,1,0),(a,b,-1):}] then A^(2) is equal to

If A=[[0,a,b],[-a,0,c],[-b,-c,0]] , find 1/2 (A+A\') and 1/2 (A-A\')

If A=[[1, 0],[ 0, 1]] , B=[[1,0],[0,-1]] and C=[[0, 1],[ 1, 0]] , then show that A^2=B^2=C^2=I_2 .

If A=[[1, 2, x], [0 ,1 ,0],[ 0, 0, 1]] and B=[[1,-2,y],[0, 1, 0 ],[0, 0, 1]] and A B=I_3 , then x+y equals (a) 0 (b) -1 (c) 2 (d) none of these

If A=[[1,2,3],[0,1,0],[1,1,0]] and B=[[-1,1,0],[0,-1,1],[2,3,4]] show that AB!=BA

If A=[(1,0,0),(0,1,0),(1,b,0] then A^2 is equal is (A) unit matrix (B) null matrix (C) A (D) -A

If A=[[2,3,4],[1,2,3],[-1,1,2]], B=[[1,3,0],[-1,2,1],[0,0,2]] , find AB and BA and show that AB!=BA