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GATE XE 2025 | Question: 17

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Suppose that $2$ is an eigenvalue of the matrix

$$\left[\begin{array}{ccc}
0 & 3 & -\alpha \\
0 & 1 & 0 \\
1 & -1 & 3
\end{array}\right]$$

Then the value of $\alpha$ is equal to (Answer in integer) $\_\_\_\_\_$

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