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    Orthogonal projection

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    Definition 11.1 An orthogonal projection operator is a linear transformation such that and .


    If W is a subspace of V, prove that P_w is an orthogonal projection.

    (P_w is P sub w)

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    Solution Preview

    Please see the attached file.

    The orthogonal projection: satisfies: ,
    Suppose is a subspace of , show that is also ...

    Solution Summary

    This is a proof regarding linear transformations and orthogonal projections are provided. The subspace with projections are examined.