Description
In this lesson, students first demonstrate that linear transformations in the coordinate plane do not commute. Since each linear transformation corresponds to a 2 × 2 matrix, students see that the corresponding matrix multiplication must also fail to commute (N-VM.C.9). Students verify this fact algebraically by multiplying matrices in both orders. Work is then extended to coordinates in 3-D space to prove that multiplication of 3 × 3 matrices is also not commutative.
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From EngageNY.org of the New York State Education Department. Precalculus and Advanced Topics Module 2, Topic B, Lesson 10.
Available from engageny.org/resource/precalculus-and-advanced-topics-module-2-topic-b-lesson-10; accessed 2015-05-29.
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