Determinants
Singular and Non-Singular Transformations
Linear transformations which are non-singular will cover the entire plane
Linear transformations which are Singular will not cover the whole plane
Determinant as an area
For singular matrix the area of determinant is zero
Determinant of a Product
det(AB) = det(A)*det(B)
The determinant of a product of singular and non-singular is zero, so AB will be singular
Determinants of Inverses
- The determinant of an inverse matrix is the inverse of the determinant of the matrix