-1
$\begingroup$

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?
  • 0
    What have you tried? (And for that matter, what have you learned?) See http://meta.math.stackexchange.com/questions/1803/how-to-ask-a-homework-question for why I ask.2012-11-02
  • 0
    What do you know about linear systems?2012-11-02
  • 0
    Honestly not much. I'm hoping to learn from answers2012-11-02
  • 1
    This really is incredibly similar to your other question here http://math.stackexchange.com/questions/227608/linear-algebra-and-augmented-matrix/227610#227610 Would it not be better to ask one question and see if you get the idea?2012-11-02
  • 0
    I did and it didn't work.2012-11-02
  • 0
    Right. What do you mean exactly by "it didn't work"?2012-11-02
  • 1
    Simplify! Consider, say 6 equations and 3 variables.2012-11-02
  • 0
    Heck, consider 3 equations in 2 unknowns. But don't try anything simpler than that, unless you're willing to accept $0x=0$ as an equation in one unknown.2012-11-03

1 Answers 1