Question

ifAB= A and BA= B,then show that A × A = A,B× B= B.​

Answer 1

Step-by-step explanation:

A×A=A

here A=AB,so AB×AB=AB

A(B×B)=AB

B×B=AB/B

A Will get cut and B×B=B

again BA×BA=BA

B(A×A)=BA

A×A=BA/A

B Will get cut and A×A=A

Hence proved