Description
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.
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Credits
From EngageNY.org of the New York State Education Department. Precalculus and Advanced Topics Module 2, Topic B, Overview.
Available from engageny.org/resource/precalculus-and-advanced-topics-module-2-topic-b-overview; accessed 2015-05-29.
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