# If #A#, #B# and #A+B# are idempotent matrices, then prove that #AB+BA=0#?

##### 1 Answer

May 30, 2018

See below

#### Explanation:

By idempotency of

Distributing:

By idempotency of

May 30, 2018

See below

By idempotency of

Distributing:

By idempotency of