Science:Math Exam Resources/Courses/MATH221/December 2019/Question 06 (a)/Statement

Find the dimension of the subspace $W$ in $\mathbb {R} ^{5}$ spanned by the following three vectors

$${\bf {v}}_{1}={\begin{bmatrix}3\\1\\1\\0\\0\end{bmatrix}},\;{\bf {v}}_{2}={\begin{bmatrix}-1\\2\\1\\0\\0\end{bmatrix}},\;{\bf {v}}_{3}={\begin{bmatrix}-1/2\\-2\\7/2\\0\\0\end{bmatrix}}.$$