# 27.&nbsp; Which one of the following statement...

27.  Which one of the following statements is NOT true for a square matrix?

(A) If A is upper triangular, the eigenvalues of A are the diagonal elements of it

(B) If A is real symmetric, the eigenvalues of A are always real and positive

(C) If A is real, the eigenvalues of A and AT are always the same

(D) If all the principal minors of A are positive, all the eigenvalues of A are also positive

Hint:
Explanation:

Answer-(B) If A is real symmetric, the eigenvalues of A are always real and positive
Discuss the solution.