Vector analysis, comparing tensors to vectors

1MileCrash
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I have been struggling with this homework question for a week and it still makes no sense to me.

I am asked to

"choose a nontrivial second order tensor in R^2 and determine whether or not it can be identified with a first order tensor in R^4 in a natural way, and if it can be, is every second order tensor in R^2 a first order tensor in R^4 in this natural way?"

What is he talking about? As far as I know they have the same number of components and that is it.
 
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I don't think the entire internet has anything to say about this.

Swell.
 

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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