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Solve for matrix problem

  1. Aug 10, 2011 #1
    Not sure what to call this problem, but say I have a bunch of equations like this:

    v1'*M*v1 = c1
    v2'*M*v2 = c2
    ...

    M is an unknown square matrix and is the same in every equation. v is a vector and c is a scalar, these are different in each equation. I can have as many of these as I need. Is there a clever way to solve for M? I wrote out the 2x2 case and can solve it if I take apart M, but I'd like a more elegant extensible solution if one exists.

    I hope my question makes sense. Thanks.
     
  2. jcsd
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