# Simple basis question

$\begin{pmatrix} 0&1 \\0 & 0 \end{pmatrix}$

Find the basis of this matrix. The answer is $\begin{pmatrix}1\\0\end{pmatrix}$ I keep getting$\begin{pmatrix}0\\1\end{pmatrix}$

Can anyone help me with the steps. I cant remember how to do this properly.

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How are you arriving at $\begin{pmatrix}0\\1\end{pmatrix}$? –  amWhy Apr 15 '13 at 2:40
FYI: Matrices do not have bases, vector spaces have bases but a matrix is not a vector space. My guess is that you meant to say you wanted a basis for the column space of that matrix. –  Jim Apr 15 '13 at 2:46
x1 = 0 x2=1 thats how and i am really wrong. Also, jim you are correct. I would appreciate if anyone can show me the steps. –  user1730308 Apr 15 '13 at 2:59
To find a basis, find a set that spans the space and prove that it is linearly independent –  Quincunx Apr 15 '13 at 5:21