Question

Find the orthogonal projection of u onto the subspace of R4 spanned by the vectors v1,...

Find the orthogonal projection of u onto the subspace of R4 spanned by the vectors v1, v2 and v3.

u = (3, 4, 2, 4) ; v1 = (3, 2, 3, 0), v2 = (-8, 3, 6, 3), v3 = (6, 3, -8, 3)

Let (x, y, z, w) denote the orthogonal projection of u onto the given subspace. Then, the components of the target orthogonal projection are

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