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Vector Subspaces, Gram-Schmidt, Orthogonal, Basis

1) Find the closest point to y in the subspace W spanned by v1 and v2.



#2) Let y, v1, and v2 be as in exercise #1. Find the distance from y to the subspace of R4 spanned by v1 and v2.

#3) The given set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for W.


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Vector Subspaces, Gram-Schmidt and Orthogonal Basis are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.