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Math Help - Find orthogonal projection

  1. #1
    Newbie
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    Find orthogonal projection

    Find the orthogonal projection of v onto the subspace W spanned by the vectors ui. ( You may assume that the vectors ui are orthogonal.)


    v =
    [1
    2
    3]


    u1 =
    [2
    -2
    1]


    u2 =
    [-1
    1
    4]
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  2. #2
    MHF Contributor
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    The projection operator is:

    \mathbf{u}_i=\mathbf{v}_i-\sum_{k=1}^{j-1}proj_{\mathbf{u}_k}(\mathbf{v}_j)
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