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Linear Algebra Frobenius Norm

  1. Sep 28, 2013 #1
    1. The problem statement, all variables and given/known data

    Prove ∥A∥F =√trace(ATA), for all A ∈ R m×n

    Where T= transpose



    2. Relevant equations



    3. The attempt at a solution
    I tried and i just can prove it by using numerical method. Is there anyway to prove the equation in a correct way?
     
  2. jcsd
  3. Sep 28, 2013 #2
    The product AT A worked out gives the sum of all entries squared.
     
  4. Sep 28, 2013 #3
    Can you give me a head start? :( im in total lost :(
     
  5. Sep 28, 2013 #4

    Dick

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    Write trace(AA^T) out in index notation.
     
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