Linear transformation

A way of moving every point that keeps grid lines straight, parallel and evenly spaced and leaves the origin fixed.

Every shape’s area scales by that same factor, |ad − bc|, because a linear transformation treats every patch of the grid alike.

From Matrices as transformations, step “The determinant: how areas scale”

See it in action

Try linear transformation hands-on in the lesson Matrices as transformations, part of the The maths behind AI course.