Question

Assertion (A): Any square matrix \(P\) and its transpose \(P^T\) have the same eigen values.
Reason (R): The eigen values of an idempotent matrix are either zero or unity.

• A. Both (A) and (R) are correct and (R) is the correct explanation of (A)
• B. Both (A) and (R) are correct but (R) is not the correct explanation of (A)
• C. (A) is correct but (R) is not correct
• D. (A) is not correct but (R) is correct

Hint:

Transpose does not change eigenvalues, but changes eigenvectors.

Answer 1

The Correct Option is C