Find a basis for the column space of the matrix
\[\begin{bmatrix} -4 & -2 & 4 & 4 \\ 1 & -3 & 13 & -4 \\ 1 & -2 & 9 & 3 \end{bmatrix}.\]Click for answer
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\[ \begin{bmatrix} -4 & -2 & 4 & 4 \\ 1 & -3 & 13 & -4 \\ 1 & -2 & 9 & 3 \end{bmatrix} \]Solution:
\begin{solution} \[ \begin{bmatrix} -4 \\ 1 \\ 1 \end{bmatrix} \qquad \begin{bmatrix} -2 \\ -3 \\ -2 \end{bmatrix} \qquad \begin{bmatrix} 4 \\ -4 \\ 3 \end{bmatrix} \qquad \] \end{solution}