If two linear systems have exactly the same solutions, then they have the same augmented matrix. True or False? I think it would be false? Why?
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False. (S1): $\displaystyle x+y=5$ $\displaystyle x-y=3$ (S2): $\displaystyle 2x+2y=10$ $\displaystyle 2x-2y=6$ (S3): $\displaystyle 3x-2y=10$ $\displaystyle x+5y=9$
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