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Linear Algebra Frobenius Norm

  • Thread starter iwan89
  • Start date
  • #1
27
0

Homework Statement



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

Where T= transpose



Homework Equations





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?
 

Answers and Replies

  • #2
761
13
The product AT A worked out gives the sum of all entries squared.
 
  • #3
27
0
Can you give me a head start? :( im in total lost :(
 
  • #4
Dick
Science Advisor
Homework Helper
26,258
618
Can you give me a head start? :( im in total lost :(
Write trace(AA^T) out in index notation.
 

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