İngilizce

Once we have fixed a basis β of V and a basis γ of W, the process of determining T v splits
into two parts. First, compute the β-γ matrix representation γ [T ]β. This must be done only
once and it can be used in all subsequent computations. Then, for each v of interest, compute
its β-coordinate vector [v]β and calculate the product in (0.0.00) to determine the γ -coordinate
vector [T v]γ , from which one can recover Tv as a linear combination of the vectors in γ .

Türkçe

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