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Linear Algebra

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Determinant of a Diagonal Matrix

LINALG-TYWVNH

Suppose that $M$ is a diagonal matrix. Which of the following statements is true about the determinant of $M$?

A

The determinant of $M$ can not be equal to zero.

B

The determinant of $M$ must be equal to zero.

C

It is possible that the determinant of $M$ is equal to zero. It is also possible that the determinant of $M$ is not equal to zero.