Question 1054305
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Determine if the vectors v1 = (1,2,3), v2 = (1,0,-1), v3 = (2,2,2), v4 = (2,4,6) span R^3

What I have done is create a matrix and Im not sure where to go next

<pre>
1  2  3       (1)
1  0  -1      (2)
2  2  2       (3)
2  4  6
</pre>

I assume I have to use Gaussian Elimination, but I am lost afterwards
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Check that just the vectors v1, v2 and v3 span R^3.


For it, it is enough to check that the determinant of the matrix (1), (2), (3) is non-zero.


Also, notice that vector v4 is collinear with vector v1.