[See Solution] Consider the real inner product space C([0,2 π]), endowed with the same inner product as the previous question. Let W be the subspace spanned
Question: Consider the real inner product space \(C([0,2 \pi])\), endowed with the same inner product as the previous question. Let \(W\) be the subspace spanned by the three functions given by \(1, \cos x\) and \(\sin x\). Find the best approximation to the function \(f(x)=x\) by a function in \(W\).
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![[Solution Library] Consider the vectors v_1=(1,2,3), v_2=(0,1,4),](/images/solutions/MC-solution-library-72158.jpg "[Solution Library] Consider the vectors v_1=(1,2,3), v_2=(0,1,4),")
[Solution Library] Consider the vectors v_1=(1,2,3), v_2=(0,1,4),
(See) In this problem we have the symmetric matrix
(See Solution) Use the Lagrange multiplier method to find the extrema of
(See Steps) Let f(x, y)=x^2+y^2+x y on the unit disk D=(x, y)
(Solution Library) Find the shortest distance from the origin
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