Determine whether \(\left\{ \begin{bmatrix}2\\1 \\1\end{bmat…
Determine whether \(\left\{ \begin{bmatrix}2\\1 \\1\end{bmatrix}, \begin{bmatrix}0\\1 \\4\end{bmatrix}, \begin{bmatrix}3\\-1 \\2\end{bmatrix}\right\}\) form a basis for \(\mathbb{R}^3\). Explain why your work supports your result.