The effect of row operations on the determinant of a matrix; computing determinants via row reduction; a square matrix is invertible if and only if its determinant is nonzero.

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- August 22nd, 2017
- 7 years ago
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##### Theorem describing the effect of elementary row operations on the determinant of a matrix. math.la.t.mat.det.elementaryoperations

##### Equivalence theorem: the determinant of A is nonzero. math.la.t.equiv.det

##### The determinant of a triangular matrix is the product of the entries on the diagonal. math.la.t.mat.det.trianglar