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[College Level] Norm of Matrices

  1. Feb 11, 2015 #1
    So I'm studying norm of matrices in my calc class, and most resources I've looked at seem like it's just the square root of all the entry values over the sum of all the entries, but when given the matrix

    [1 3]
    [0 1]

    Sqrt((11+sqrt(117))/2)

    The 11 is the sqrt of 12 + 32 + 12

    the 2 is the root of 1 + 3 + 1, where does the plus sqrt(117) come from?
     
  2. jcsd
  3. Feb 11, 2015 #2

    DEvens

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    Education Advisor
    Gold Member

    Um...

    1^2 + 3^2 + 1^2 is 11. In what sense is 11 the square root of that?

    1 + 3 + 1 is 5. In what sense is 2 the square root of that?

    Can you possibly re-state the definition of the norm you are using? The phrase "the square root of all the entry values" does not make sense. Do you mean, the square root of the sum of the squares of the matrix values?

    http://en.wikipedia.org/wiki/Matrix_norm

    Which matrix norm do you think you are using?
     
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