# Gaussian Elimination, is this method OK?

1. Oct 10, 2011

### NewtonianAlch

1. The problem statement, all variables and given/known data

A=
<1, -3, -1, 1>
<2, -5, 0, 1>
<-3, 5, -6, 3>

What I did was Row2 = 2*Row1 - Row2 which renders Row2 as: <0, -1, -2, 1>

However in the solutions, Row2 was given as: <0, 1, 2, -1>, which appears to be R2 = -2R1 + R2

I'm guessing it makes no real difference, we were asked to calculate the basis of the kernel(A), to which I got <-8,-3,2,1>$^{T}$ and the solutions gave <8,3,-2,-1>$^{T}$, probably because of the difference in row-reducing the second row.

Am I incorrect?

2. Oct 11, 2011