Question

The Cartesian Product B x A is equal to the Cartesian product AxB.
A
True
B.
False
C.
Mostly true
D.
none of these

Answer 1

Answer:

B

Step-by-step explanation:

example: A={1,2} , B={3,4}

A×B = { (1,3) , (1,4) , (2,3) , (2,4) }

B×A = { (3,1) , (3,2) , (4,1) , (4,2) }

hence A×B is not equal to B×A

option (B) is correct

Answer 2

The correct answer is (B.) False.

Explanation:

• It is Flase that The Cartesian Product B x A is equal to the Cartesian product AxB.
• Let A = {1, 2} and B = {a, b}. The Cartesian product A x B = {(1, a), (1, b), (2, a), (2, b)} and the Cartesian product B x A = {(a, 1), (a, 2), (b, 1), (b, 2)}. This is not equal to A x B.
• The Cartesian product A x B = {(1, a), (1, b), (2, a), (2, b)} and the Cartesian product B x A = {(a, 1), (a, 2), (b, 1), (b, 2)}. This is not equal to A x B.
• So, this statement is False that the Cartesian Product B x A is equal to the Cartesian product AxB.