W is a subspace of P3 spanned by p1 = 0.9x+0.6x^2-1.5x^3, p2 = 0.3-0.2x+0.4x^3, p3=0.4-0.6x-0.1x^2+0.5x^3.

[umid/]

So I got stuck in this best approximation question; every help is appreciated.
With your explanation if possible can you explain how inner product is used and created in this situation.

 

[stapel]

View attachment 36710

So I got stuck in this best approximation question; every help is appreciated.
With your explanation if possible can you explain how inner product is used and created in this situation.

You say that you've gotten stuck. Please reply showing all of your working, up to the point where you've gotten stuck. ("Read Before Posting") When you reply, please explain how "best approximation" relates to this question.

Thank you!

 

[blamocur]

I am guessing that you could ignore the fact that [imath]p_1,p_2,p_3[/imath] and [imath]p[/imath] are polynomials, but treat them as 4D vectors with coefficients being vectors' coordinates.