A change of basis

Consider two bases from a vector space $\mathbb{R}^3$: $e_1 = (1, -1, 1)$, $e_2 = (-1,-1,1)$, $e_3 =(-1, 0, 2)$ and $e'_1 = (-2, -1, -1)$, $e'_2 = (1, 0, 2)$, $e'_3 =(1, -3, 3)$. Suppose we also know, that the coordinates of a vector $w$ in basis $\mathbf{e}$

are $\begin{pmatrix} -1\\ -6 \\ 3\end{pmatrix}$. What coordinates does the vector $w$ have in the basis $\mathbf{e'}$?

In the answer, write the coordinates in the following form: if you have, for example, a vector $\begin{pmatrix} 1 \\ 2\ \\3 \end{pmatrix}$, then write 1 2 3.

Tip: Matrix inverse to the transition matrix from $\mathbf{e}$ to $\mathbf{e'}$ is $C^{-1} = \begin{pmatrix} -0.5 & 1 & 1.5\\ -0.5& 1 & 2.5 \\ 0.5 & 0 & -0.5 \end{pmatrix}.$