Express \(\begin{bmatrix}-1\\4\\5\end{bmatrix}\) as a linear combination of \(\begin{bmatrix}2\\1\\-3\end{bmatrix}\), \(\begin{bmatrix}-1\\1\\4\end{bmatrix}\) and \(\begin{bmatrix}1\\1\\-2\end{bmatrix}\).

If this is not possible, enter DNE in each answer cell.

\[\begin{bmatrix}-1\\4\\5\end{bmatrix}=\answer {-1}\begin{bmatrix}2\\1\\-3\end{bmatrix}+\answer {2}\begin{bmatrix}-1\\1\\4\end{bmatrix}+\answer {3}\begin{bmatrix}1\\1\\-2\end{bmatrix}\]