Problem

Equivalence of Systems When one system of equations is obtained from another by a sequence...

Equivalence of Systems When one system of equations is obtained from another by a sequence of elementary row operations on their augmented matrices, the systems are equivalent (have the same set of solutions) because the transformation can be reversed (hence a solution of the first satisfies the second and vice versa). Explain why this is true by giving an elementary row operation that reverses the effect of each basic one.

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