GATE 2023 MT – Question 30
The sum of eigenvalues of $\begin{bmatrix}4&3&2\\0&-1&2\\0&0&-3\end{bmatrix}$ is ______ (integer).
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Correct answer: 0 to 0
Explanation
The eigenvalue sum is the trace: $4-1-3=\boxed0$. The matrix is triangular, so its diagonal entries are also its individual eigenvalues.