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October 10th, 2008, 07:22 PM

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Yes in this case you can choose that one.

Now suppose we have a matrix A where the vector columns of A are $c_1,c_2,c_3,c_4$ and suppose by row operation we can reduce A into
$\begin{pmatrix}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&0\end{pmatrix}$ .

What are the generators of the subspace generated by $c_1,c_2,c_3,c_4$ ?

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