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Compute the determinant of the following matrix by first putting the matrix in reduced echelon form:...

Compute the determinant of the following matrix by first putting the matrix in reduced echelon form:

[2 1 -1 0 3

1 0 2 4 -2

4 -2 0 5 1

3 -3 2 1 7

-2 1 0 -3 5]

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