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 matrix 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.
Precalculus and Advanced Topics Module 2, Topic B, Overview
Resources may contain links to sites external to the EngageNY.org website. These sites may not be within the jurisdiction of NYSED and in such cases NYSED is not responsible for its content.
Common Core Learning Standards
|N.VM.7||(+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a...|
|N.VM.8||(+) Add, subtract, and multiply matrices of appropriate dimensions.|
|N.VM.9||(+) Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is...|