"Let A = \begin{pmatrix}-1&2&-13&-6\\ 2&1&1&-3\\ -3&0&-9&0\\ 7&2&11&-6\end{pmatrix}
Determine a basis for the null space of A."
So I reduced it and got the following matrix:
\begin{pmatrix}1&0&3&0\\ 0&1&-5&-3\\ 0&0&0&0\\ 0&0&0&0\end{pmatrix}
Writing it in terms of parameters I got:
x1 = -3x3
x2 = 5x3 + 3x4
So I thought the vectors were:
\begin{pmatrix}-3\\ 5\\ 0\\ 0\end{pmatrix} and \begin{pmatrix}0\\ 3\\ 0\\ 0\end{pmatrix}
But this incorrect.
Any help?
Determine a basis for the null space of A."
So I reduced it and got the following matrix:
\begin{pmatrix}1&0&3&0\\ 0&1&-5&-3\\ 0&0&0&0\\ 0&0&0&0\end{pmatrix}
Writing it in terms of parameters I got:
x1 = -3x3
x2 = 5x3 + 3x4
So I thought the vectors were:
\begin{pmatrix}-3\\ 5\\ 0\\ 0\end{pmatrix} and \begin{pmatrix}0\\ 3\\ 0\\ 0\end{pmatrix}
But this incorrect.
Any help?
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