Question

let A and B be two non- empty sets. Prove that— (i) if A=B then A×B=B×A
(ii) if A×B=B×A then A=B​

Answer 1

Answer:

(I) we know that A=B or B=A

if we multiply B to both side we get

A×(B)

B×(A)- we know that B=A so we took B as a

therefore,

A×B=B×A

(ii) similarly if A×B=B×A then A,=B