GATE 2019 EC – Question 27
The number of distinct eigenvalues of the matrix
$$A=\begin{bmatrix}2&2&3&3\\0&1&1&1\\0&0&3&3\\0&0&0&2\end{bmatrix}$$
is equal to ________.
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Correct answer: 3
Explanation
$A$ is upper triangular, so its eigenvalues are the diagonal entries $2,1,3,2$. The distinct values are $1,2,3$, so there are 3.