2016 | OriginalPaper | Buchkapitel
Linear Mappings and Their Matrices
verfasst von : Jerry Shurman
Erschienen in: Calculus and Analysis in Euclidean Space
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This chapter introduces linear mappings and their matrices, working both intrinsically and in coordinates. The determinant is introduced as a function characterized by three properties that have immediate, significant consequences. The magnitude and the sign of the determinant are shown to describe how a linear mapping magnifies volume, and whether it preserves or reverses orientation.