Ok am I missing something here or did our professor give us a take-home quiz with a question that has no answer? We needed to find the answer to a system of equations as follows:(adsbygoogle = window.adsbygoogle || []).push({});

4x-8y+3z=16

-x+2y-5z=-21

3x-6y+z=6

I setup the matrix….

[tex]

\begin{array}{*{20}c}

4 & { - 8} & 3 & {16} \\

{ - 1} & 2 & { - 5} & { - 21} \\

3 & { - 6} & 1 & 6 \\

\end{array}[/tex]

I reduced it down to

[tex]

\begin{array}{*{20}c}

0 & 0 & { - 17} & { - 68} \\

{ - 1} & 2 & { - 5} & { - 21} \\

0 & 0 & { - 14} & { - 57} \\

\end{array}[/tex]

At this point I realized… the equations didn't work. Am I right to think this quiz was given with a bad problem on it?

I even had mathematica reduce it and it gave me 2 rows that tried to say 1 = 0.

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# This matrix doesn't reduce!

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