Write the system of equations
{1x+4y+1z=55x+2y4z=14x+5y+2z=3\displaystyle {\left\lbrace\begin{array}{c} -{1}{x}+{4}{y}+{1}{z}=-{5}\\-{5}{x}+{2}{y}-{4}{z}={1}\\{4}{x}+{5}{y}+{2}{z}={3}\end{array}\right.}
as a matrix equation, that is, rewrite it in the form
A[xyz]=B\displaystyle {A}{\left[\begin{array}{c} {x}\\{y}\\{z}\end{array}\right]}={B},

where A =
 
 
and B =