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Multiplying complex matrices and hermition

  1. Oct 30, 2012 #1
    1. The problem statement, all variables and given/known data

    I have a 4x4 matrix V composed of complex numbers. I also have a 1x4 matrix S. The question asks to solve for c in S = Vc

    2. Relevant equations

    I learned that c = <V, S>/||V||^2, or c= (1/a)*<V, S> where "a" is the value of the entries on the main diagonal of the Hermition matrix of V.

    3. The attempt at a solution

    I don't know how to solve for c because I suppose that S should be a column matrix not a row matrix, unless I transpose it but that hasn't been defined. Some help would be appreciated.
     
  2. jcsd
  3. Oct 30, 2012 #2

    Mark44

    Staff: Mentor

    I think there is a mistake in the problem statement. For Vc to be defined, c has to be 4 X something. If c is 4 X 1, then the product Vc will be 4 X 1.
     
  4. Oct 30, 2012 #3

    Mark44

    Staff: Mentor

    BTW, this should be posted in the Calculus & Beyond section. I am moving this thread to that section.
     
  5. Oct 31, 2012 #4
    Thanks for the reply, I was confirmed that the 1x4 should be transposed which solves the problem.
     
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