Here are three properties, supposing that A^(-1) is the inverse of A, and C^T is the transpose of C
1) The determinant of a matrix product is equal to the product of the determinants. det(A1A2⋯An)=det(A1)det(A2)⋯det(An)
2) det(A^(-1)) = 1/det(A)
3) det(C^T) = det(C)
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also det(cA) = c det(A) for a number c.