Linear Algebra Quiz
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The vector y⃗=[7,−4,−1]T\vec{y} = [7, -4, -1]^T can be written as the sum y⃗=w⃗+z⃗\vec{y} = \vec{w} + \vec{z}, where w⃗\vec{w} is in the subspace WW spanned by u⃗=[1,2,2]T\vec{u} = [1, 2, 2]^T and z⃗\vec{z} is in the orthogonal complement W⊥W^\perp. What is the vector z⃗\vec{z}?
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