Hello.
When solving a 2x3 equation with the matrix system what is the goal? is it to end up with a zero like this?
a b c
0 d e
is that right? or should I also end up with a 1?
thank you.
You need to be clearer about the exact nature of your question.
If your mean you have a set of equations:
$\displaystyle
a x + b y = c
d x + e y = d
$
which you are going to solve by reducing the augmented matrix:
$\displaystyle
\left[
\begin{array}
{cc|c} a&b&c\\d&e&f
\end{array}
\right]
$
by using row opperations.
How you do this depends on what you have been taught, but if you reduce
this to the form:
$\displaystyle
\left[
\begin{array}
{cc|c} g&0&h\\0&i&j
\end{array}
\right]
$
then $\displaystyle x=h,\ y=j$ is the solution to the original set of equations.
RonL