已知线性变换}{l)(x)_(1)=2(y)_(1)+2(y)_(2)+(y)_(3)的线性变换.

已知线性变换

$\left\{\begin{array}{l}\begin{array}{l}{x}_{1}=2{y}_{1}+2{y}_{2}+{y}_{3}\end{array}\\ {x}_{2}=3{y}_{1}+{y}_{2}+5{y}_{3}\\ {x}_{3}=3{y}_{1}+2{y}_{2}+3{y}_{3}\end{array}\right.$，

求从变量${x}_{1}$，${x}_{2}$，${x}_{3}$到变量${y}_{1}$，${y}_{2}$，${y}_{3}$的线性变换.