Solving Ax=b in Parametric Vector Form | System A = 0...-2...9...5, b = 0...0

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Homework Statement

Describe the solution(s) of the system Ax=b in parametric vector form where A =
0...-2...9...5
0...1...2...-6

and b =
0
0

The attempt at a solution
I got this far:

1...0...13...7...0
0...1...2...-6...0

How do I continue to get it into parametric vector form? I only have two leading ones, so does it look like I'll be getting some free variables?
 
Last edited:
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Any suggestions?
 
Is my work confusing?
 
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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