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Linear Algebra Find the best approximation to z by vectors of the form c1v1 + c2v2...

Linear Algebra

Find the best approximation to z by vectors of the form c1v1 + c2v2

z = [3, -5, 2, 3], v1 = [3, -1, 0, 1], v2 = [1, 2, 2, -1]

The best approximation to z is     (Simplify your answer.)

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Answer #1

Solution:

    are orthogonal vectors

The best approximation to by vectors of the form   is

  

i.e

The best approximation to by vectors of the form   is

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