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Graver, Jack E.
The College mathematics journal, 20/1/1/, Letnik: 42, Številka: 1Journal Article
A typical first course on linear algebra is usually restricted to vector spaces over the real numbers and the usual positive-definite inner product. Hence, the proof that dim(S) + dim(S ⊥ ) = dim(ν) is not presented in a way that generalizes to non-positive-definite inner products or to vector spaces over other fields. In this note we give such a proof.
