Question

If
A, B are two indem potent matrices
and AB=BA=0 then (A+B) is​

Answer 1

Step-by-step explanation:

Given A and B are idempotent matrices A²

=A and B²= B

Consider, (A+B)²

=(A+B)(A+B) = A²+AB+BA+B²

=A+B+AB+BA

For, (A+B)²

=A+B to hold, AB=BA=0