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並前往https://courses.math.tufts.edu/math70/Worksheet%20Solutions/Chapter1Solns/sec1_9new%20-%20Sol.pdf

Section 1.9 The Matrix of a Linear Transformation Key Concepts

The action of T on unit vectors ei,i = 1 ...m, determines the structure of A. • Important properties of T (one-to-one, onto) are intimately related to known ...

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