Explain why the determinant of a matrix with integer entries must be an integer.

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- Mar 10th 2013, 02:54 PMCivy71Matrices
**Explain why the determinant of a matrix with integer entries must be an integer.** - Mar 10th 2013, 03:03 PMPlatoRe: Matrices
- Mar 10th 2013, 03:13 PMCivy71Re: Matrices
I came up with the following answer: Since the product of integers is always an integer, each elementary product is an integer and so the sum of the elementary products is an integer. Is that the best way to explain it? Thanks.

- Mar 11th 2013, 10:12 PMjakncokeRe: Matrices