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

A=[{:(2,3,-1),(1,-2,4):}]andB=[{:(1,4),(2,5),(-1,3):}] then verify that (AB) =B'A.

If A=[{:(1,2),(4,1),(5,6):}],B=[{:(1,2),(6,4),(7,3):}] , then verify that : (i) (2A+B)=2A'+B' (ii) (A-B)'=A'-B'

If A=[{:(0,-1,2),(4,3,-4):}]andB=[{:(4,0),(1,3),(2,6):}] then verify that : (i) (A')=A (ii) (A*B)'=B'*A' (iii) (kA)'=(k*A')

If A^(-1)=[{:(3,-1,1),(-15,6,-5),(5,-2,2):}] and B=[{:(1,2,-2),(-1,3,0),(0,-2,1):}] then find (AB)^(-1)

A=[{:(5,-1),(6,7):}],B=[{:(2,1),(3,4):}]andC=[{:(1,3),(-1,4):}] then verify that (i) (A)=A (ii) (A+B)=A+B (iii) (3A)'=3A (iv) (AB)'=B'A'

If A=[{:(3,sqrt(3),2),(4,2,0):}]andB=[{:(2,-1,2),(1,2,4):}] verify that (i) (A')'=A (ii) (A+B)' =A'+B' (iii) (kB)'=kB ', where k is any constant.

If A=[{:(1,2,3),(2,3,1):}]andB=[{:(3,-1,3),(-1,0,2):}] , then find 2A-B .

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

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

If A=[{:(3,-4),(1,1),(2,0):}]andB=[{:(2,1,2),(1,2,4):}] ,then verify (B*A)^(2)neB^(2)*A^(2) .