Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Let P and Q be 3 by 3 matrix with P is not equal to Q If P^3=Q^3 and P^2Q=Q^2P, then determinant of P^2+Q^2 is equal to

Let P and Q be 3 by 3 matrix with P is not equal to Q If P^3=Q^3 and P^2Q=Q^2P, then determinant of P^2+Q^2 is equal to

Answers (1)

best_answer

Solution:     P^3=Q^3 and P^2Q=Q^2P gives

               Rightarrow       P^3-P^2Q=Q^3-Q^2P

              Rightarrow       P^2(P-Q)=-Q^2(P-Q)

                Rightarrow    (P^2+Q^2)(P-Q)=0

                herefore     One of the possible values of left | P^2+Q^2 ight |=0

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question