Linear Algebra - Inner Product Spaces

jackqpublic
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Homework Statement



http://img199.imageshack.us/img199/3230/mathquestion2.png

Thank you very much in advance!
EDIT: subspace U = span(1,t)
 
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Also, how do you prove this inequality:
http://img196.imageshack.us/img196/6901/inequality.png
 
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I knew my prof was such a dick that even you geniuses couldn't understand the problem.
 
I am pretty sure there are plenty of people that can help you with this question. However by not showing any attempt yourself you have violated the forum rules and it is unlikely you will receive any help until you at least have shown your attempt at a solution or at the very minimum your thoughts about this problem.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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