If A=[(1,-2,3),(-4,2,5)] and B=[(2,3),(4...

If `A=[(1,-2,3),(-4,2,5)] and B=[(2,3),(4,5),(2,1)]`, then find AB, BA. Show that `AB ne BA`.

A

AB, BA exist and equal

B

AB, BA exist and not equal

C

AB exists, BA does not exist

D

AB does not exist and Ba exists

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

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

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=[(1,1,-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) .

Find AB, if A=[(0,-1),(0,2)] and B=[(3,5),(0,0)] .

If A' = [(2,5),(2,1),(-3,2)], B = [(2,-1,-2),(4,0,5)] and [(4,5,2),(0,1,4)] find A + B and B -C , show that A + (B -C) = (A + B) - C .

If A=[(1,0),(0,-1)] and B=[(0,1),(1,0)] , then prove that AB ne BA .

If A={1,2,3,4,5} and B={4,5,6,7}, then find A-B and B-A. Are they equal?

If A={1,2,3,4} and B={1,2,3,5,6}, then find A cap B and B cap A. Are they equal.