# Determinants and operations on matrices

Put content here.**Determinants and matrix operations:**
- $\det(AB) = \det(A)\det(B)$
- $\det(A^T) = \det(A)$
- $\det(cA) = c^n \det(A)$ for $n \times n$ matrix
- $\det(A^{-1}) = 1/\det(A)$
- Row swap changes sign of determinant
- Row scaling by $c$ multiplies determinant by $c$
- Row replacement does not change determinant

# Parents

* Determinants