Determinant of the transpose equals the determinant of the original matrix; rescaling a column rescales the determinant by the same factor; interchanging two columns changes the sign of the determinant; adding multiple of one column to another leaves determinant unchanged; determinant of the product of two matrices equals product of the two determinants

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##### A matrix and its transpose have the same determinant. math.la.t.mat.det.transpose

##### If A and B are n-by-n matrices, then det(AB)=det(A)det(B). math.la.t.mat.det.product

##### Theorem describing the effect of elementary row operations on the determinant of a matrix. math.la.t.mat.det.elementaryoperations