\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Show that applying the same elementary row operation twice (with appropriate parameters) returns to the original system in the case of (a) a swap, (b) a dilation, and (c) a transvection. Deduce that each elementary row operation is reversible by an operation of the same type.
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