Question 133

If A, B are two matrices such that AB = A, BA = B, then $$A^2 + B^2$$ =

Solution

Share

AB=A and BA=B

Hence A and B are identity matrices

The square of an identity matrix is the matrix itself

Hence $$A^2=A\ and\ B^2=B$$

So $$A^2+B^2=A+B$$

Get AI Help

View More Questions From Quant

Create a FREE account and get:

  • Download Maths Shortcuts PDF
  • Get 300+ previous papers with solutions PDF
  • 500+ Online Tests for Free

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Enroll Now
Ask AI

Ask our AI anything

AI can make mistakes. Please verify important information.