Find the closest point to y in the subspace W spanned by v1 and v2. y = [ 1, -1, 1, 15], v1 = [ 1, -1, -1, 1], v2 = [ -2, 1, 0, 3] The closest point to y in W is the vector . (Simplify your answer.)
Added by Jeffrey Y.
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Let's denote the projection as p. The projection formula is given by: p = ((y·v) / (v·v)) * v + ((y·z) / (z·z)) * z Now, we need to find the dot products and plug them into the formula. y·v = ? y·z = ? v·v = ? z·z = ? After finding these dot products, we can Show more…
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