Let A = ((1,2),(3,4)) and B = ((a,0),(0,...

Let `A = ((1,2),(3,4)) and B = ((a,0),(0,b)), a b in N ` . Then :

A

there exists exactly one B such that AB-BA

B

there exists infinitely many B's such that AB=BA

C

there cannot exist any B such that AB=BA

D

there exist more than but finite number of B's such that AB=BA

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If A = ((3,4),(2,3)) , B = ((-2,-2),(0,-1)) , then (A+B)^(-1) :

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

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

Let A(-1, 0), B(0, 0) and C(3, 3sqrt(3)) be three points. Then the bisector of angle ABC is :

Let A = {1, 2, 3, …..., n} and B = {a, b}. Then the number of surjection from A into B is

Let A = {1, 2, 3, 4} and B = {1, 2} . Then the number of onto functions from A onto B is

Let A = [(1,-1,1),(2,1,-3),(1,1,1)] and (10)B = [(4,2,2),(-5,0,alpha),(1,-2,3)] If B is the inverse of A , then alpha is :

Let A = {1, 2, 3}, B = {2, 4} and R = {(1, 2), (2, 2), (2, 4), (3, 4)}. Is a relation from A to B ?

If A=[{:(0,2),(3,-4):}] and k A =[{:(0,3a),(2b,24):}], then find the value of b-a-k.