Verify Solution of Matrix Row Reduction Problem

[temaire]

Homework Statement

http://img708.imageshack.us/img708/7309/10324398.jpg

The Attempt at a Solution

First I row reduced the matrix into the RREF and got

<br /> \left[ \begin{array}{cccc} 1 &amp; 0 &amp; -1 &amp; -2 \\ 0 &amp; 1 &amp; 2 &amp; 3 \\ 0 &amp; 0 &amp; 0 &amp; 0 \end{array} \right]<br />

(0,1,2,3) is a linear combinatin of (1,2,3,4) and (2,6,10,14) so you drop it. Therefore {(1,0,-1,-2), (0,1,2,3)} is a basis of row(A).

Am I correct?

 

[boboYO]

yes.