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: 

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