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How exactly do you decide which operations to do in doing a matrix row reduction? Every example I see just randomly multiplies the rows or does row operations and magically they get the answer. HOW do you know to do certain operations? I understand the reduced row echelon form but it still doesn't help me.

[PLAIN]http://img232.imageshack.us/img232/4274/88315354.png [Broken]

[PLAIN]http://img232.imageshack.us/img232/4274/88315354.png [Broken]

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