1. Tardigrade
  2. Question
  3. Mathematics
  4. If A and B are two matrices such that A B=B and B A=A, then A2+B2=

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If $A$ and $B$ are two matrices such that $A B=B$ and $B A=A$, then $A^{2}+B^{2}=$

KCETKCET 2022

Solution:

$A^{2}+B^{2}=A A+B B=A(B A)+B(A B)=(A B) A+(B A) B=B A+A B=A+B$