Question

If AB=A and BA =B, then what is the value of A ​

Answer 1

Answer:

A

2

+B

2

=A×A+B×B

=(AB)(AB)+(BA)(BA)

=A(BA)B+B(AB)A

=(AB)B+(BA)A

[since AB =A and BA=B]

=AB+BA

=A+B