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Checking my answer : For which vectors the system has solution?

  1. Jan 20, 2009 #1


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    1. The problem statement, all variables and given/known data
    I must describe implicitly the set of the vectors (b_1, b_2, b_3) such that the system has a solution.

    2. The attempt at a solution
    Playing with matrices I got that 0=b_3-b_1-b_2, so that I think that the system has solution for all b_1, b_2 and b_3 such that b_1=b_3-b_2.
    Am I right? Also, did I describe the set of vectors implicitly? Ah maybe I should write (b_3-b_2, b_2, b_3), for all b_2 and b_3.
  2. jcsd
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