We discuss how to apply linear transformations in sequence -- i.e., how to "compose" linear transformations. Textbook: http://www.njohnston.ca/publications/... Blank course notes (lectures 13-16): http://www.njohnston.ca/la_week4.pdf Annotated course notes (lectures 13-16): http://www.njohnston.ca/la_week4_anno... Please leave a comment below if you have any questions, comments, or corrections. Timestamps: 00:00 - Introduction 02:04 - Main theorem 06:16 - Examples 14:21 - Angle-sum derivation