Lessons for Topic 4.12
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
Finding the matrix of a transformationWhere a transformation sends each unit vector gives the columns of the matrix that performs it.Lesson