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The product of all eigenvalues of the matrix [1 2 3; 4 5 6; 7 8 9] is

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

Correct answer: 0

Solution

The product of all eigenvalues of a matrix is equal to its determinant. Since the determinant of the given matrix is 0, it indicates that at least one eigenvalue is 0, making the product of all eigenvalues also 0.

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