Lessons for N.VM.C.11
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
Multiplying a matrix by a vectorThe answer is a linear combination of the columns, with the vector entries as the weights.Lesson
Printable Worksheets
Linear transformation worksheet (PDF)Printable worksheet with answer keyPreview
Multiplying a matrix by a vector worksheet (PDF)Printable worksheet with answer keyPreview