Solving a System by Gaussian Elimination: Help Needed

charmedbeauty
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Homework Statement



for some reason I am having real trouble trying to solve this system.


Homework Equations





The Attempt at a Solution




a=(10,11,4) v1=(2,1,4) v2=(-1,-2,1) v3=(3,3,-1)

the qstn does a belong to the span (v1,v2,v3)?

so I do gauss elim

but I keep running into dead ends can someone please show just the steps to start i.e. R1=R2 +R3

because every time I have tried I can't get the bottom row to have ENOUGH 0'S!

Thanks.
 
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Can you please show your work so that we may see how far you have gone and where you have gotten stuck?
 
I do not see anything special about this system. Show us what goes wrong for you.
 
voko said:
I do not see anything special about this system. Show us what goes wrong for you.

Well as it turns out it was really easy I just kept making mistakes (it was really late at night)
tried it the next morning and I got it fine.
apparently my brain does not work very well when deprived of sleep. Thanks though
 
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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