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The minimum eigenvalue of the following matrix is [3 5 2 5 12 7 2 7 5]

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

Correct answer: 0

Solution

The determinant of [[3,5,2],[5,12,7],[2,7,5]] is 0, so 0 is an eigenvalue. The matrix is positive semidefinite (other eigenvalues ~1.81 and ~18.19), making 0 the minimum eigenvalue. Stored answer 1 is wrong.

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