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What kind of form is this general solution of a system?

  1. Feb 8, 2013 #1
    If this were the reduced row echelon form of an augmented matrix,

    1 2 0 1 1 0 3
    0 0 1 2 1 0 1
    0 0 0 0 0 1 2
    0 0 0 0 0 0 0

    What is the form of the following answer given, and how can I understand it?

    (x1; x2; x3; x4; x5; x6) = (3; 0; 1; 0; 0; 2)+ t(1; 0; 1; 0; 1; 0)+ s(1; 0; 2; 1; 0; 0)+ u(2; 1; 0; 0; 0; 0)
    for s; t; u [itex]\in[/itex] ℝ.
     
  2. jcsd
  3. Feb 8, 2013 #2
    the solution to the system is written in parametric form where T,S,U are your free variables and (3 0 1 0 0 2) is your particular solution.
     
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