Determinant
The determinant of a matrix is how much that linear transformation changes the space that a unit square takes. Since a unit square can be infinitely small, a determinant therefore gives us by what factor $c$ any given matrix multiplies any shape’s area.
# Zero Determinants
If the determinant is zero, it means that the shape is squeezed into a smaller Dimension by the matrice.
# Negative Determinants
A negative determinant means that the shape is flipped over.