# ALEX Classroom Resource

## Precalculus and Advanced Topics Module 2, Topic B: Linear Transformations of Planes and Space

Classroom Resource Information

Title:

Precalculus and Advanced Topics Module 2, Topic B: Linear Transformations of Planes and Space

URL:

Content Source:

EngageNY
Type: Lesson/Unit Plan

Overview:

Module 2, Topic B explores the geometric context for higher-dimensional matrices. The geometric effect of matrix operations—matrix product, matrix sum, and scalar multiplication—are examined, and students come to see, geometrically, that matrix multiplication for square matrices is not a commutative operation, but that it still satisfies the associative and distributive properties. The geometric and arithmetic roles of the zero matrices and identity matrix are discussed, and students see that a multiplicative inverse to a square matrix exists precisely when the determinant of the matrix is non-zero.

Note: This module is identified as Precalculus and Advanced Topics in the EngageNY curriculum. It also corresponds to the Algebra II and Algebra II with Trigonometry Alabama Course of Study.

Content Standard(s):
Tags: add, addition, associative, commutative, distributive, identity matrix, inverse, multiplication, multiply, real numbers, scalar, square matrix, subtract, zero matrix
See Terms: https://www.engageny.org/terms-of-use
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