Finding Pivots in Row Reduction: Does a Zero on Top Matter?

magma_saber
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Homework Statement


When row reducing and trying to find the pivots, does it matter if there is a zero on top?
i.e.:
1 2 3 4
0 8 0 5
0 0 4 6

i know that the 1st and 2nd columns are pivots but is the 3rd column a pivot also?
 
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no, it doesn't matter. It is still a pivot.
 

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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