Ex 2: Solve a System of Two Equations Using an Augmented Matrix (Reduced Row Echelon Form)

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This video explains how to solve a system of equations by writing an augmented matrix in reduced row echelon form. This example has no solution.
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To be very formal, in RREF, the elements above and below the leading 1, should be zeros. However, I agree once you know there is no solution, there is no real need to continue. Formally we would need to continue to satisfy the formal definition of RREF. Good question though. We actually know there is no solution when we have the row 0 0 -5.

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