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Example of Orthogonal Projection

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Published on Jun 12, 2012

Linear Algebra: Let W be the subspace of R^2 spanned by (1, 1). Find the orthogonal projection P1 from R^2 to W and the orthogonal projection P2 from R^2 to the orthogonal complement of W. We verify that the Ps satisfy the general properties of an orthogonal projection. Then we use them to decompose (1, 0) along (1, 1).

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