Multiplying two matrices represents applying one transformation after another. Many facts about matrix multiplication become much clearer once you digest this fact.
Watch the full "Essence of linear algebra" playlist here: goo.gl/R1kBdb
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If you are new to this channel and want to see more, a good place to start is this playlist: goo.gl/WmnCQZ
This introduces the "Essence of Linear Algebra" series, aimed at animating the geometric intuitions underlying many of the topics taught in a standard linear algebra course.
This course is perfect for any high school student interested in exploring the world of Linear Algebra, which any math and engineering student will face in their college years. Furthermore, this course is perfect for any university and adult learner who wants an intuitive, original, and entertaining explanation of simple and complex Linear Algebra concepts.