Finding the basis for a subspace

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Homework Statement


Find a basis for the subspace of R3 spanned by S={(42,54,72),(14,18,24),(7,9,8)}.

I am not sure what steps to take to solve this.

Any help would be great.
 
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Do you know how to find a basis for a subspace in general?
 
I'm sorry. I figured it out. It was staring me right in the face and I was just to brain dead to get it. haha sorry.
 

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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