User:Randomstaplers/sandbox
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Following Wikipedia on Gaussian elimination, each row is represented by the letter with subscript row #, starting with 1 at the top, and increasing by 1 down each row.
Elimination notation
[edit | edit source]Let's say we have a Matrix:
Multiplying the second row by times the first row, resulting in
the elimination notation can be represented like this:
The row number where the operation is being applied comes first.
The first column represents usage of the first row in a row operation, the second column represents usage of the second row, et. cetera. Each operation makes up our original matrix , which is why, with the first and third rows, which haven't been altered, the only operations are .