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Solving a linear set of unknown Vectors

  1. Mar 19, 2009 #1

    I am trying to find a mathematical procedure for finding the solutions for a linear set of vector equations.

    For example I have;

    Ax + By = P (1)
    Cx + Dy = Q (2)

    Here, A,B,C,D,x and y are all Nx1 vectors. So I need to solve for two Nx1 vectors.
    For a general linear equations like Ax=B -> x=A^-1.B, is there any standard procedure to solve for vectors of unknowns?

    Thank you very much.
  2. jcsd
  3. Mar 19, 2009 #2


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    If A and x are column (?) vectors, then what is Ax? Is it the inner product?
    Because in that case, you have two equations for 2N unknowns which will give you a heavily underdetermined system.
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