Write the system of equations $$\begin{array}{r} 2 x + 2 y + 5 z = 4\\ 2 x + 3 y + 3 z = 4\\ 5 x + 2 y + 2 z = 4\\ \end{array}$$ as a matrix equation, that is, rewrite it in the form $$\left[\begin{array}{rrr} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23}\\ a_{31} & a_{32} & a_{33}\\ \end{array}\right] \left[\begin{array}{l} x \\ y\\ z\\ \end{array}\right] =\left[\begin{array}{l} b_1 \\ b_2\\ b_3\\ \end{array}\right]$$ Input your answer below:
$a_{11}=$
$a_{12}=$
$a_{13}=$
$a_{21}=$
$a_{22}=$
$a_{23}=$
$a_{31}=$
$a_{32}=$
$a_{33}=$
$b_1=$
$b_2=$
$b_3=$