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CHAPTER 5 REVIEW - Purdue University

CHAPTER 5 REVIEW Throughout this note, we assume that V and Ware two vector spaces with dimV = nand dimW= m. T: V →Wis a linear transformation. 1. A map T: V →Wis a linear transformation if and only if T(c 1v 1 + c 2v 2) = c 1T(v 1) + c 2T(v 2), for all v 1,v 2 ∈V and all scalars c 1,c 2. Every linear transform T: Rn →Rm can be expressed as the matrix product with …

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