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Homework Help: A is n by n matrix. It is diagonalized by P. Find the matrix that

  1. Nov 12, 2012 #1
    A is n by n matrix. It is diagonalized by P. Find the matrix that diagonalizes the tranpose of A.


    We have the equation A=PDP^-1
    Where D is the diagonal matrix consisting of the eigen values of A.


    (A)^t=(PDP^-1)^t
    A^t=(P^-1)^t * D^t * P^t
    A^t=(P^t)^-1 * D * P^t

    So the matrix (P^t)^-1 diagonalizes A^t.

    Is that correct?
     
  2. jcsd
  3. Nov 12, 2012 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Re: Diagonalization

    Sounds fine to me.
     
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