Home
Class 12
MATHS
If A = [(1,-1),(2,3)], B = [(1,3),(-1,4)...

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

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|10 Videos

  • MATRICES

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS WITH ANSWERS|16 Videos

  • LINEAR PROGRAMMING

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|5 Videos

  • MOCK QUESTION PAPER - 1

    SUBHASH PUBLICATION|Exercise Part-E|4 Videos

Similar Questions

Explore conceptually related problems

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

If A = [{:(1,2),(-2,3):}], B= [{:(2,1),(2,3):}] and C = [{:(-3,1),(2,0):}] ,verify that (AB)C = A(BC) and A(B+C)=AB+AC.

If A = [(2,2),(1,3)], B = [(2,0),(4,3)] and C = [(1,4),(1,3)] . Calculate AB, AC and A (B + C). Verify that AB + AC = A(B +C) .

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

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

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 (AB)C=A(BC) .

If A=[(-2),(4),(5)]andB=[(1,3,-6)], verify that (AB)'=B'A' .

If A=[(3, sqrt(3), 2),(4,2,0)] and B=[(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= {:[( 2,3),( 1,-4) ]:}and B = {:[( 1,-2),( -1,3) ]:} ,then verify that (AB)^(-1) =B^(-1) A^(-1)