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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The projection operator is: $\displaystyle \mathbf{u}_i=\mathbf{v}_i-\sum_{k=1}^{j-1}proj_{\mathbf{u}_k}(\mathbf{v}_j)$
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