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Need help with a linear algebra proof

  1. Oct 19, 2005 #1

    mpm

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    I have another problem that I am needing a little guidance.

    Problem:
    Let L be a linear operator on R1 and let a = L(1). Show that L(x) = ax for all x belongs to set R1.

    Do i just need to use the definition of a linear transformation and show that this is a linear transformation or what?
     
  2. jcsd
  3. Oct 20, 2005 #2

    TD

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    Homework Helper

    Not to "show it is a lineair transformation" because that is already given. But because it is given, you can use its definition on L to prove what is stated :smile:
     
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