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).
Tagged under: Mathematics,linear,algebra,orthogonal,projection,orthonormal,basis,eigenvector,eigenvalue,symmetric,complement,unit,product,standard
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