When solving simultaneous equations, such as:$$3x+5y=2$$$$x+6y=14$$You will multiply one by a scalar to eliminate a variable:$$A: 3x+5y=2$$$$B: x+6y=14$$$$A-3B:-13y=-40$$ etc...
When I gave each equation a letter, $A$ and $B$, is there a conventional symbol to use for that, or is a colon fine?
Thanks :)
Because the study of linear systems inexorably leads to the study of matrices, I prefer to use the notation $R_i$ for the $i^\text{th}$-row of a linear system when I teach linear algebra/systems.
In your example, I would write $R_1 - 3R_2$.
This becomes especially useful when the number of rows is greater than three.