The product of all eigenvalues of the matrix \(\begin{bmatrix} 1 & 2 & 3 \\ 4…

GATE · 2024 · CS · Set 1 · Computer Science & IT

The product of all eigenvalues of the matrix [123456789]\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \\ \end{bmatrix} is

  1. A.

    −1

  2. B.

    0

  3. C.

    1

  4. D.

    2

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