8.If `A = [[1,-2], [3, -1]]` and `B = [[-1,2] , [-3,1]]` then `a) A+B =0` `b) A-B =0` c) `A=B` `d) A=-B`

If A=[[3,2],[0,5]]and B=[[1,0],[1,2]] then find (A+B)(A-B)

If A= [[1,-1,0],[2,3,4],[0,1,2]] and B = [[2,2,-4],[-4,2,-4],[2,-1,5]] then, (A) A^(-1) =B (B) A^(-1) =6B (C) B^(-1) =B (D) B^(-1) = 1/6 A

If A= [[1,2],[3,4]] , adjA= [[4,a],[-3,b]] , then the values of a and b are: (a) a=-2, b=1 (b) a=2, b= 4 (c) a=2, b=-1 (d) a=1, b=-2

If A=[(2 ,3,-5 ),(1, 2,-1)] and B=[(0, 5,1),(-2, 7, 3)] , find A+B and A-B

If a=-2 , b=-1 ,then a^(b)-b^(a) is equal to a) -1 b) 0.5 c) -2 d) -1.5

If A=[[1, 1,-1],[ 2, 0, 3],[ 3,-1, 2]] , B=[[1, 3],[0,2],[-1, 4]] and C=[[1,2, 3,-4],[ 2, 0,-2, 1]] , find A(BC), (AB)C and show that (A B)C = A(B C) .

Let A=[[1 ,1, 1],[ 3, 3, 3]] , B=[[3,1], [5, 2],[-2, 4]] and C=[[4,2],[-3,5],[ 5 ,0]] . Verify that A B=A C though B!=C ,\ A!=O .

If A=[[1 ,2,-3],[ 5, 0, 2],[ 1,-1, 1]], B=[[3,-1, 2],[ 4, 2 ,5],[ 2, 0, 3]] and C=[[4, 1, 2],[ 0, 3, 2],[ 1,-2, 3]] , then compute (A+B) and (B - C) . Also, verify that A + (B - C) = (A + B) - C .

if A'=[{:(3,4),(-1,2),(0,1):}]and B=[{:(-1,2,1),(1,2,3):}], then verify that (i) (A+B)'=A'+B'(ii) (A-B)'=A'-B'