Tuesday, July 5, 2022

DynCont#2: SVD, MIT 18.065 Strang you tube lecture video

  1.  A * v = u * Sigma
  2. Matrix A times an orthogonal vector matrix = another orthogonal vector matrix scaled by sigma
  3. Sigma is diagonal matrix
  4. Sigma is the square of eigen values of A A'
  5. AA' is symmetric and positive semi definite 
  6. If A is mxn, AA' = m x m . Then, it will have m eigen values.
  7. If A is mxn, A'A = n x n . Then, it will have n eigen values. If m is greater than n, then m-n eigen values of AA' will be zero.
  8. Use of SVD:?
  9. SVD from lecture 29 in 18:06?
  10. Use of SVD from Knuth?

 

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