(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Apply Gaussian elimination to the following matrix

2 -3 0 3

4 -5 1 7

2 -1 -3 5

I understand how to get the answer.

3. The attempt at a solution

My question is why doesn't the following method work: Switch Z over into the first column, move row 1 to row 3, then exchange rows 1 and 2 so that the new matrix is

1 -5 4 7

-3 -1 2 5

0 -3 2 3

Multiply the first row by 3 and add that to equation 2 to get:

1 -5 4 7

0 5 8 35

0 -3 2 3

Multiply row 2 by 3/5 and add that to equation 3 to get

1 -5 4 7

0 5 8 35

0 0 (34/5) 24

By this time I realized I was on the wrong track but I don't why what I did was illegal.

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# Homework Help: Gaussian elimination

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