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Let u be some fixed factor in R^n and let S be the set of all vectors in R^n that are orthogonal to u. Is

Let u be some fixed factor in R^n and let S be the set of all vectors in R^n that are orthogonal to u. Is S a sub space of R^n?

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Question 18 15 pts Let u be some fixed vector in R" and let S' be the set of all vectors in " that are orthogonal to u. Is S a subspace of R"? Be sure to justify your answer by showing explicitly how it either passes all the part of the subspace test or how it fails one of them. (Submit your work as a JPEG, PDF or PNG file below.)

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