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  • https://math.libretexts.org/Courses/Mission_College/MAT_04C_Linear_Algebra_(Kravets)/07%3A_Orthogonality/7.02%3A_Orthogonal_Complements
    It will be important to compute the set of all vectors that are orthogonal to a given set of vectors. It turns out that a vector is orthogonal to a set of vectors if and only if it is orthogonal to th...It will be important to compute the set of all vectors that are orthogonal to a given set of vectors. It turns out that a vector is orthogonal to a set of vectors if and only if it is orthogonal to the span of those vectors, which is a subspace, so we restrict ourselves to the case of subspaces.

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