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Vectors, Pure and Applied by T. W. Körner

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6

Linear maps from imagesn to itself

6.1 Linear maps, bases and matrices

We already know that matrices can be associated with linear maps. In this section we show how to associate every linear map α : imagesnimagesn with an n × n matrix.

Definition 6.1.1 Let α : imagesnn be linear and let e1, e2,..., en be a basis. Then the matrix A = (aij) of α with respect to this ...

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