Solving Systems of Linear Equations (Echelon Matrices)

DiamondV
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Homework Statement


find the general solution of the given system of equations:
http://puu.sh/ncKaS/57a333f5b9.png

Homework Equations


Row Echelon Operations

The Attempt at a Solution


http://puu.sh/ncKcm/3e2b2bd5ab.jpg

The correct answer given is x = 1, y = 1, z = 2, w = −3

I have done quite a few of these now around 5-6 and have gotten 3 correct. I don't know what my mistake with this one is. We are using Gaussian elimination.[/B]
 
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When you add 18 times r3 to r4, the last term of row 3 is 16/14*18 not 16/4*18
 
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Gianmarco said:
When you add 18 times r3 to r4, the last term of row 3 is 16/14*18 not 16/4*18

Ahhh. Thanks soo much.
 

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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