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Given a real nxn symmetric and non-positive definite matrix, . . .

  1. Dec 18, 2007 #1
    let B be a nXn real symmetric and non-positive definite matrix. Show that (x^TBx)^1/2 is not a norm on R^n.
     
  2. jcsd
  3. Dec 19, 2007 #2

    HallsofIvy

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    Check to see if it satisfies all the requirements for a norm.
     
    Last edited by a moderator: Dec 19, 2007
  4. Dec 19, 2007 #3
    how do you check o? i honestly have no idea how to do the problem.
     
  5. Dec 19, 2007 #4

    morphism

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    Read the definition of "norm" and check to see if this satisfies it.
     
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