Let $\displaystyle \beta$ = {$\displaystyle v_1, v_2, v_3$} be the basis for $\displaystyle R^3$ where the v's are

$\displaystyle [1, 2, -2]^T$, $\displaystyle [-1, -1, 3]^T$ $\displaystyle [2, 6, -1]^T$ respectively.

Find the coordinate vector with respect to $\displaystyle \beta$ for the vector v =$\displaystyle [3, 5, -6]^T$