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Mathematics
Problem
Determine the product
[
−
4
4
4
−
7
1
3
5
−
3
−
1
]
[
1
−
1
1
1
−
2
−
2
2
1
3
]
\begin{bmatrix} -4 & 4 & 4 \\ -7 & 1 & 3 \\ 5 & -3 & -1 \end{bmatrix} \begin{bmatrix} 1 & -1 & 1 \\ 1 & -2 & -2 \\ 2 & 1 & 3 \end{bmatrix}
−
4
−
7
5
4
1
−
3
4
3
−
1
1
1
2
−
1
−
2
1
1
−
2
3
and use it to solve the system of equations
x
+
y
+
z
=
4
,
x
−
2
y
−
2
z
=
9
,
2
x
+
y
+
3
z
=
1
x+y+z=4,\ x-2y-2z=9,\ 2x+y+3z=1
x
+
y
+
z
=
4
,
x
−
2
y
−
2
z
=
9
,
2
x
+
y
+
3
z
=
1
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