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If $A$ is an $m\times n$ matrix where $m\lt n$

The nonhomogeneous system $Ax=o$ has at least one solution and the homogeneous system $Ax=0$ has a unique solution.

Are the above statements true or false ...please assist

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    Do you have two separate statements?2012-02-19
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    The first system looks pretty homogeneous.2012-02-19
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    @Dylan That may be a bad edit of mine. Reverting it...2012-02-19
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    You will have to take more care, Bulelwa, when you post questions here. Your first sentence ends in mid-air. Your non-homogeneous system isn't non-homogeneous. Your spelling leaves much to be desired. Voting to close.2012-02-20
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    @Gerry: The first question ended in "mid-air" because of the use of `<`; of course, the OP should look at how the question looks after posting. Th first system as `Ax=o`, as opposed to the second which is `Ax=0`; however, `o` is a rather poor choice for "something different from 0".2012-02-20
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    Bravo, Arturo, bravo! Unfortunately, the system forbids retracting my vote to close.2012-02-20

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