What are the steps for function orthogonalization in Exercise 8?

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Homework Statement



The problem is Exercise 8

[PLAIN]http://postimage.org/image/6kpizm8dj/ [/PLAIN]

Homework Equations



in picture

The hint says "follow the steps as in the previous exercise, using the properties of (phi 1) and (phi 2) as already established".

The Attempt at a Solution



I tried substituting in phi 1 and phi 2 to solve for beta and gamma but that didn't work.
 
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talked to 5 people in my class who also don't know what to do and online is of no help :(
 
What you show defines phi1 and phi2 in terms of u1 and u2 but does not say what u1 and u2 are. Also #7 asks you to "Show that [itex]\alpha= -(\phi_1, u_2)[/itex]" but you give no definition of [itex]\alpha[/itex].