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单词 dual map
释义

dual map

For a linear map T:V→W of vector spaces, the dual map T:W→V between the dual spaces is defined by (Tφ)(v) = φ(Tv) for φ in W and v in V. If the matrix for T is M, with respect to bases for V and W, then the matrix for T is the transpose MT with respect to the dual bases.

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更新时间:2025/4/29 11:05:09