SOLUTION: Explain why each of the three elementary row operations does not affect the solution set of a linear system.

Question 1192334: Explain why each of the three elementary row operations does not affect the solution set of a linear system.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

Because
1. Swapping equations does not change the fact that a number satisfies them.
2. Adding two rows is OK because equals added to equals gives equals.
3. Multiplying a row by the same non-zero constant is the equivalent of
multiplying both sides of an equation by the same non-zero constant, which
gives an equivalent equation.

Edwin

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