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GATE 2016 | MATHS | Q-12

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Consider the following statements P and Q:
(P) : If \( M = \begin{bmatrix} 1 & 1 & 1 \\ 1 & 2 & 4 \\ 1 & 3 & 9 \end{bmatrix} \), then M is singular.
(Q) : Let S be a diagonalizable matrix. If T is a matrix such that \( S + 5T = I \), then T is diagonalizable.

Which of the above statements hold TRUE?
(A) both P and Q (B) only P
(C) only Q (D) Neither P nor Q
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