Question

If A = ,1{ ,2 }3 & B = ,2{ 3}, prove that : A × B ≠ B × A.

Answer 1

Answer:

A={0,1}

B={1,2,3}

A×B={(0,1),(0,2),(0,3),(1,1),(1,2),(1,3)}

B×A={(1,0),(2,0),(3,0),(1,1),(2,1),(3,1)}

By the definition of equality of ordered pairs, the pair (0,1) in A×B is not equal to the pair (1,0) in B×A

Therefore, A×B



=B×A