2.If `A=[[-1,2,3],[5,7,9],[-2,1,1]]` and `B=[[-4,1,-5],[1,2,0],[1,3,1]],` then verify that ],[ (i) `(A+B)'=A'+B',` (ii) `(A-B)'=A'-B'`

If A=[[-1 ,2, 3],[ 5 ,7, 9],[-2 ,1, 1]] and B=[[-4, 1,-5],[ 1, 2,0 ],[1, 3, 1]] , then verify that(i) (A+B)^(prime)=A^(prime)+B^(prime) (ii) (A-B)^(prime)=A^(prime)-B^(prime)

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'

If A=[[2,3],[1,-4]] and B=[[1,-2],[-1,3]] , then verify that (A B)^(-1)=B^(-1)A^(-1)

If A=[[2,3,4],[1,2,3],[4,-5,7]], B= [[2,5,-1],[3,-1,2],[7,2,-3]] , verify that (A+B)'=A'+B'

If A=[[1,2,-3] , [5,0,2] , [1,-1,1]] and B=[[3,-1,2] , [4,2,5] , [2,0,3]] then find matrix C such that A+2C=B

If A=[{:(0,-1,2),(4,3,-4):}] and B=[{:(4,0),(1,3),(2,6):}] then verify that (i) (A')'=A (ii) (AB)'=B'A'

if A=[{:(2,1,3),(1,-1,2),(4,1,5):}]and B=[{:(1,-1,2),(2,1,5),(4,1,3):}], then show that : (i) (A+B)'=A'+B' (ii) (A+4B)'=A'+4B'

If A=[[3,4],[ -1,2],[0, 1]] and B=[[-1, 2, 1],[1,2, 3]] , then verify that (A+B)^(prime)=A^(prime)+B^(prime)

If A=[[1,2,3],[-1,0,2],[1,-3,1]], B=[[4,5,6],[-1,0,1],[2,1,2]] and C=[[-1,-2,1],[-1,2,3],[-1,-2,2]] verify that A+(B+C)=(A+B)+C

If A=[[1,0,-2],[3,-1,0],[-2,1,1]],B=[[0,5,-4],[-2,1,3],[-1,0,2]] and C=[[1,5,2],[-1,1,0],[0,-1,1]] verify that A(B-C)=(AB-AC)