Examples of special types of linear transformation from R^2 to R^2: dilation, projection, and shear. (Some issues with the video: things re-start around the 10 second mark, and at 3:46 the word "projection" is said, when it should be "transformation". Also, at the end maybe it could be described why it is called a 'shear'.)
After watching a video defining linear transformations and giving examples of 2-D transformations, students should be able to answer the questions in this quiz.
Use matrix transformations to motivate the concept of linear transformation; examples of matrix transformations