Given the coordinate matrix of x relative to a (nonstandard) basis B for $R^3$, find the coordinate matrix of x relative to the standard basis.\
$B = \{(1, 0, 0), (1, 1, 0), (0, 1, 1)\}$, $[x]_B = \begin{bmatrix} 4 \\ 0 \\ -2 \end{bmatrix}^T$
$[x]_S = \begin{bmatrix} \\\\\\ \end{bmatrix}$