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[Linear Algebra] - Homogeneous system

  1. Jul 26, 2011 #1
    1. The problem statement, all variables and given/known data
    Prove that if s and t (both are vectors) satisfy a homogeneous system then so do these vectors.
    (a) s + t
    (b) 3s
    (c) ks + mt | k, s are real

    2. Relevant equations



    3. The attempt at a solution

    I have no idea where to start.
     
  2. jcsd
  3. Jul 26, 2011 #2

    hotvette

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    Homework Helper

    Might help to start with the definition of a homogeneous system. I believe this is an exercise in using matrix distributive properties.
     
  4. Jul 26, 2011 #3
    Oh it was so simple, just by looking at how a homogeneous system is like. Thanks :smile:
     
    Last edited: Jul 26, 2011
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