Gauss-Jordan Elimination Rules

[Axmann]

Can someone please explain the basic rules that must be adhered to when using Gauss-Jordan Elimination? I've been having some difficulty with it because apparently I keep doing things that you aren't allowed to do.

So far, I know only the following:

-You CAN multiply an entire row by a nonzero numeral
-You CAN subtract one row from another
-You CANNOT add or subtract a nonzero numeral to (or from) a row

What other rules are there?

 

[LCKurtz]

Can someone please explain the basic rules that must be adhered to when using Gauss-Jordan Elimination? I've been having some difficulty with it because apparently I keep doing things that you aren't allowed to do.

So far, I know only the following:

-You CAN multiply an entire row by a nonzero numeral
-You CAN subtract one row from another
-You CANNOT add or subtract a nonzero numeral to (or from) a row

What other rules are there?

If the elementary row operations aren't listed in your text, look here:

http://en.wikipedia.org/wiki/Elementary_matrix

 

[HallsofIvy]

Can someone please explain the basic rules that must be adhered to when using Gauss-Jordan Elimination? I've been having some difficulty with it because apparently I keep doing things that you aren't allowed to do.

So far, I know only the following:

-You CAN multiply an entire row by a nonzero numeral
-You CAN subtract one row from another

Add or subtract any multiple of one row from another,
Swap two rows.

-You CANNOT add or subtract a nonzero numeral to (or from) a row

What other rules are there?