Lesson: Properties of Matrix Multiplication Mathematics • First Year of Secondary School

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In this lesson, we will learn how to identify the properties of matrix multiplication, including the transpose of the product of two matrices, and how they compare with the properties of number multiplication.

Lesson Plan

Students will be able to

understand that “” is the multiplicative identity for matrices,
understand the distributive property of matrix multiplication,
understand the associative property of matrix multiplication,
understand the conditions required for matrix multiplication to be commutative,
understand interactions between the properties of matrix multiplication and transposition (i.e., ).