GATE CE 2026 Set 2 — Question 31
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Engineering Mathematics → Linear Algebra → Determinants
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Question
The eigenvalues of are , , and .The absolute value of the determinant of matrix is ______ (rounded off to two decimal places).
Correct answer
89 to 91
Solution
The determinant of a square matrix is equal to the product of its eigenvalues.
Given eigenvalues are:
The determinant is calculated as:
The absolute value of the determinant is:
Rounding off to two decimal places, we get .
Given eigenvalues are:
The determinant is calculated as:
The absolute value of the determinant is:
Rounding off to two decimal places, we get .
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