Let A be a 4 x 4 diagonalizable matrix. Which of these are always true about A? (I) A is similar to a diagonalizable matrix.

Question

Let A be a 4 x 4 diagonalizable matrix. Which of these are always true about A?
(I) A is similar to a diagonalizable matrix.
(II) All the eigenvalues of A are not equal to 0.
(III) The set of all eigenvectors of A spans R⁴.
A. Only (I) and (III).
B. Only (I) and (II).
C. Only (I).
D. All of (I), (II) and (III).
E. None of these.

Kunduz · Accepted Answer

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