If I switch 2 rows, do I have to multiple by -1 each time?(adsbygoogle = window.adsbygoogle || []).push({});

For example, I have

If I switch row 2 and 3, will it become this:

Or this?

Each time I make a switch, do I have to also put a negative sign?

Edit: Not really related to Gaussian elimination, but this is from a Gaussian elimination problem; I just wanted to know whether I have to put a negative each time I make the switch.

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# Finding determinant through Gaussian elimination

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