Let $\displaystyle T:\mathbb{R^{3}}$$\displaystyle \rightarrow$$\displaystyle \mathbb{R^{3}}$ be the linear transformation defined by $\displaystyle T(x,y,z)=(2x+y,x+2z,x+y+z)$.

Q: Let $\displaystyle \beta=\{(1,0,1),(1,1,0),(0,1,1)\}$. Find the coordinate vectors of $\displaystyle e_{1},e_{2},e_{3}$ relative to $\displaystyle \beta$

Not sure how to put everything together, some guidance would be greatly appreciated.