If A and B are square matrices of order n, then we have:
det(AB) = det(A) ∙ det(B)
If c is a scalar, then we have:
det(cAnm) = det(A) ∙ cn
Note if det(A) ≠ 0, then A is invertible (nonsingular)
If A is invertible, then we have:
det(A-1) = 1/det(A)
If A is a square matrix, then we have:
det(A) = det(AT)
