# Conditions upon overdetermined linear systems

1. Apr 15, 2012

### mosawi

Hi All

I have an exam tomorrow morning, I've almost completed my study guide but there are a few questions I have no idea how to answer. If someone here could give me a few pointers, or tell me how to solve it, or maybe you already know how to solve it; I can study off your solutions. Any help will be very much appreciated. Thanks all in advance.

1. The problem statement, all variables and given/known data

2. Relevant equations

[STRIKE]For 18a)

u1 = k1*u'1 + k2*u'2 + k3*u'3
u2 = k1*u'1 + k2*u'2 + k3*u'3
u3 = k1*u'1 + k2*u'2 + k3*u'3
find solutions for k (constants) insert into matrix.[/STRIKE]

[STRIKE]18c)
(w)b' by equation (w)b' = Pb→b' * (w)b[/STRIKE]

3. The attempt at a solution

[STRIKE]For 11, I've completed this problem already but I am not confident in my answer so I attached a picture of all the work I've done. Please correct my mistakes of which I am sure I have many.[/STRIKE]

For 17, I have no idea whatsoever how to do this one? I don't even remember our professor discussing this in class. I did some googling but I can find a clear answer. Are overdetermined systems just a system with more rows than columns? I really need help on this one...

[STRIKE]For 18, part C, I know you can find (w)b' by equation (w)b' = Pb→b' * (w)b but ofcourse I would need to know how to find parts a) and b) first. Any help here will be much appreciated.[/STRIKE]

******Update*******
I believe I have solved 11 and now 18ab and c. I have attached the solutions to this post. I still have no idea how to solve 17, someone please help...

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Last edited: Apr 15, 2012
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