Write the system of equations
{
−
1
x
+
4
y
+
1
z
=
−
5
−
5
x
+
2
y
−
4
z
=
1
4
x
+
5
y
+
2
z
=
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.}
⎩
⎨
⎧
−
1
x
+
4
y
+
1
z
=
−
5
−
5
x
+
2
y
−
4
z
=
1
4
x
+
5
y
+
2
z
=
3
as a matrix equation, that is, rewrite it in the form
A
[
x
y
z
]
=
B
\displaystyle {A}{\left[\begin{array}{c} {x}\\{y}\\{z}\end{array}\right]}={B}
A
⎣
⎡
x
y
z
⎦
⎤
=
B
,
where A =
and B =
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Enter each element of the matrix as number (like 5, -3, 2.2)
Enter each element of the matrix as number (like 5, -3, 2.2)