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

Let A= {:[( 3,7),( 2,5) ]:} and B = {:[( 6,8),( 7,9) ]:} .Verify that (AB) ^(-1) =B^(-1) A^(-1)

If A = [{:(-2),(4),(5):}] and B = [1, 3-6], verify that (AB)^(1) = B^(1) A^(1)

If A=[{:(0), (1), (2):}], B=[1" "5" "7] Verify that (AB)^(1)=B^(1)A^(1) .

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

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'

Solve the following equations by matrix method. Let A = [(3,7),(2,5)] and B = [(6,8),(7,9)] verify that (AB)^(-1) = B^(-1)A^(-1) .

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

If A = {:[(1,3,3),(1,4,3),(1,3,4) ]:} , then verify that A adj A = |A| I. Also find A^(-1)

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