Linear Algebra Help Projection

xDJ23x
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Stumped on #15. I feel like its much easier than I am making it out to be and that maybe I am just over thinking. Any help or leads would be appreciated. Thanks for your time.

http://gem.jsu.edu/service/home/~/MS352%20Test%231%20Take%20Home%20Portion%20June%202012.pdf?auth=co&loc=en_US&id=47121&part=2
 
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I'm getting an error with the link.

Also, if you want some help you have to show what you have tried already.
 
Sorry about the link. And thanks for your time. I have had trouble where to start but I think that I was just reading it wrong. I did #14 just fine. I'm pretty sure that I can figure out #15. #16 I'm not so sure. Any leads would be appreciated. Again thanks for your time.
 

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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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