For a subspace A $=$ span$[$

$$

$$

$1$

$1$

$1$

$$

$,$

$$

$$

$0$

$1$

$2$

$$

$]$ R$3$ and x $=$

$$

$$

$6$

$0$

$0$

$$

$$ in R$3$

$.$

$($a$)$ Find the projection point of x onto the subspace A$.$

$($b$)$ Find the projection matrix onto the subspace A$.$