GATE CSE 2024 Session 1 Q12: Product of eigenvalues of a 3 × 3 matrix
- Engineering Mathematics
- 1 mark
- MCQ
- −1/3 if wrong
Question
The product of all eigenvalues of the matrix is
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Answer: B (official GATE 2024 final answer key)
Concept used: The product of the eigenvalues equals the determinant.
First step: Notice row 2 is the average of rows 1 and 3, so the rows are linearly dependent.
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Source: official GATE 2024 Session 1 CS question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key
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