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Range

  • Definition: Let T: V -> W be a linear transformation. The range of T, denoted range(T), is the set of all vectors in W that are images of vectors in V under T. That is, range(T) = {T(V)|v in V} = {w in W|w=T(v) for some v in V}.

    Source: Linear Algebra: A Modern Introduction, 3rd edition by David Poole (note-custom edition titled Matrix Algebra)

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