A and B are two matrices of same order such that `AB=A` and `BA=B` . Show that `A^2+B^2=A+B`

If A and B arę square matrices of same order such that AB = A and BA = B, then

If A and B are two square matrices of the same order such that AB=B and BA=A , then A^(2)+B^(2) is always equal to

If A and B are square matrices of the same order such that AB=A and BA=B ,then (A^(2)+B^(2))=?

If A and B are non-zero square matrices of same order such that AB=A and BA=B then prove that A^(2)=A and B^(2)=B

If A and Bare square matrices of same order such that AB = A and BA = B, then AB^(2)+B^(2)= : a) AB b) A+B c) 2AB d) 2BA

If A and B are two matrices of the same order , then (AB) =A'B.

If A and B are two matrices of the same order; then |AB|=|A||B|

If A and B are square matrices of the same order such that AB=BA ,then show that (A+B)^(2)=A^(2)+2AB+B^(2)