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

Question

TuteeHUB · Accepted Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

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

1.	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
Answer» C. If 𝐴 is real, the eigenvalues of 𝐴 and 𝐴𝑇 are always the same

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