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a question about gaussian elimination

 
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losheungwai



Joined: 14 Sep 2008
Posts: 7


Post10 Oct 2008 14:59   a question about gaussian elimination

2 1 3
1 0 1
0 -1 2
-1 1 -1

gaussian elimination =
2 1 3
0 1 1
0 0 1
0 0 0
am i doing it correctly?
does the first digit of the first row has to be 1?
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mathuranathan



Joined: 11 Sep 2006
Posts: 234
Helped: 25
Location: Chennai


Post29 Oct 2008 8:15   Re: a question about gaussian elimination

Hi,
The final solution is correct. The Gauss elimination method requires the augmented matrix to be in upper triangular form. The first element necessarily need not be a '1'. It can be anything. The final solution must be in a upper triangular matrix form which looks like

a b c
0 d e
0 0 f
0 0 0

Regards,
Mathuranathan
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