What is dimension of target space?

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what is dimension of target space??

is it the R^4 on top(which says that we have 4 coordinates like x y z t

or 4 vectors in the matrix (whats it called the total number of the vectors??)
 
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I have no idea what you are talking about! "R^4 on top" of what? 4 vectors in what matrix? I assume that by "target space" you mean the the range of some linear transformation.
 

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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