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GATE 2025 AE – Question 13

Engineering Mathematics · Linear Algebra: Vector algebra, matrix algebra, systems of linear equations, rank, eigenvalues and eigenvectors · 1 mark · Multiple choice

The eigenvalues of the matrix $\begin{bmatrix} 1 & 2 \\ 0 & 3 \end{bmatrix}$ are _____.

  1. 0, 2
  2. 2, 3
  3. 1, 3
  4. 1, 2

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Show answer and explanation

Correct answer: (C) 1, 3

Explanation

The matrix is upper triangular, so its eigenvalues are the diagonal entries, 1 and 3.