Question 56

Let M be a $$3 \times 3$$ matrix satisfying
$$M\begin{bmatrix}0\\1\\0 \end{bmatrix} = \begin{bmatrix}-1\\2\\3 \end{bmatrix}, M\begin{bmatrix}1\\-1\\0 \end{bmatrix} = \begin{bmatrix}1\\1\\-1 \end{bmatrix}$$, and $$M\begin{bmatrix}1\\1\\1 \end{bmatrix} = \begin{bmatrix}0\\0\\12 \end{bmatrix}$$. Then the sum of the diagonal entries of M is

Correct Answer: 9

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