Lessons for Topic 4.13
Composing transformations as a matrix productDoing one transformation and then another is the same as multiplying their two matrices.Lesson
Linear transformationA function on vectors that respects addition and scaling, which is exactly what a matrix does.Lesson
Matrices as linear transformationsA matrix moves every vector in the plane; columns show where the basis goes.Lesson
Matrix multiplicationEach entry is a row of the first dotted with a column of the second.Lesson