Solve Linear System with Gaussian Elimination

Newbatmath
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Homework Statement



Hey everyone! I was handed this question in class without being taught how to do it! The text is supposed to be helpful but it is just confusing.

Using Gaussian elimination and 3-digit rounding arithmetic, solve the following linear system:

3.3330x_1 +15920x_2 +10.333x_3 = 7953
2.2220x_1 +16.710x_2 +9.6120x_3 = 0.965
-1.5611x_1 +5.1792x_2 -1.6855x_3 = 2.714

I'm then supposed to compare it to the actual solutions of x_1 = 1, x_2 = 0.5 and x_3 = -1 but I believe I know how to do that. :)

If there is anyway you can let me know how to do the above problem I'd really appreciate it! I want to learn this and the textbook is not clear at all.
 
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Note that the above link takes it a step further with Gauss-Jordan elimination.

Just simply quit when you have reached the requirements for regular Gaussian elimination.
 
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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