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Given a k-dimensional subspace Sk of R, the orthogonal complement Sk is defined as the subspace of all vectors VER such that (v, w)

Given a k-dimensional subspace Sk of R 

Given a k-dimensional subspace Sk of R", the orthogonal complement Sk is defined as the subspace of all vectors VER" such that (v, w) = 0, for all w sk. We will assume that we have a basis Be of Sk and determine a basis for the orthogonal complement Sk

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