Question

Write the following system as a matrix equation:
-3x+4y-3z=-20
-3x -3z=-12
x-2y-5z=-16

Answer 1

-3x+4y-3z=-20
-3x -3z=-12
x-2y-5z=-16


as a matrix equation is


\[\Large \begin{pmatrix}
-3 & 4 & -3\\
-3 & 0 & -3\\
1 & -2 & -5
\end{pmatrix}
\begin{pmatrix}
x\\
y\\
z
\end{pmatrix}
=
\begin{pmatrix}
-20\\
-12\\
-16
\end{pmatrix}
\]

Answer 2

Basically you write the coefficients in a matrix and you multiply it by the column vector of the 3 variables. That result will be equal to the column vector of the right hand side values.