Viewing topic: Orthogonal Decomposition Theorem

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Orthogonal Decomposition Theorem

  • Definition: Let W be a subspace of R^n and let v be a vector in R^n. Then there are unique vectors w in W and w' in the orthogonal complement of W such that v=w + w'.

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