Science:Math Exam Resources/Courses/MATH221/April 2010/Question 01 (e)/Solution 1

From part (d), we see that a basis for the nullspace is

$\color {blue}\left\{{\begin{bmatrix}1\\-2\\1\\0\\0\end{bmatrix}},\,{\begin{bmatrix}-24\\8\\0\\-2\\1\end{bmatrix}}\right\}.$