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For a nonhomogeneous system of 2012 equations in 1999 unknowns, answer the following three questions:

  • Can the system be inconsistent?
  • Can the system have infinitely many solutions?
  • Can the system have a unique solution?
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What have you tried? (And for that matter, what have you learned?) See meta.math.stackexchange.com/questions/1803/… for why I ask. – Willie Wong♦ Nov 2 '12 at 16:00
What do you know about linear systems? – Arkamis Nov 2 '12 at 16:01
Honestly not much. I'm hoping to learn from answers – Sam Nov 2 '12 at 16:03
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This really is incredibly similar to your other question here math.stackexchange.com/questions/227608/… Would it not be better to ask one question and see if you get the idea? – Simon Hayward Nov 2 '12 at 16:12
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Simplify! Consider, say 6 equations and 3 variables. – vesszabo Nov 2 '12 at 16:32
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