Question

Find the closest point to y in the subspace W spanned by v1 and v2. y = [3, -1, 1, 19], v1 = [1, -3, -1, 1], v2 = [-1, 1, 0, 4] The closest point to y in W is the vector [-2, -2, -2, 18]. (Simplify your answer.)

          Find the closest point to y in the subspace W spanned by v1 and v2.
y = [3, -1, 1, 19], v1 = [1, -3, -1, 1], v2 = [-1, 1, 0, 4]
The closest point to y in W is the vector [-2, -2, -2, 18].
(Simplify your answer.)

Added by Fernando C.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Kathleen Carty

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We need to find the projection of y onto the subspace W. Show more…

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Find the closest point to y in the subspace W spanned by v1 and v2. The closest point to y in W is the vector (Simplify your answer.)

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Find the closest point to y in the subspace W spanned by v1 and v2. y = [3, -1, 1, 19], v1 = [1, -3, -1, 1], v2 = [-1, 1, 0, 4] The closest point to y in W is the vector [-2, -2, -2, 18]. (Simplify your answer.)

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