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Math Help - when solving a 2x3 equation applying the matrix system

  1. #1
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    when solving a 2x3 equation applying the matrix system

    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.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by jhonwashington View Post
    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:

     <br />
a x + b y = c<br />
d x + e y = d<br />

    which you are going to solve by reducing the augmented matrix:

     <br />
\left[<br />
\begin{array}<br />
{cc|c} a&b&c\\d&e&f<br />
\end{array}<br />
\right]<br />

    by using row opperations.

    How you do this depends on what you have been taught, but if you reduce
    this to the form:

     <br />
\left[<br />
\begin{array}<br />
{cc|c} g&0&h\\0&i&j<br />
\end{array}<br />
\right]<br />

    then x=h,\ y=j is the solution to the original set of equations.

    RonL
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