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Matrix algebra

  1. Apr 28, 2005 #1
    Some big matrix, like 4x4 ones, can be written as groups of 2x2 matrices.

    For example,
    [tex]H = \left(\begin{array}{cccc}1 & 0 & 1 & 0\\0 & 1 & 0 & 1\\1 & 0 & 1 & 0\\0 & 1 & 0 & 1\end{array}\right) = \left(\begin{array}{cc}1 & 1\\1 & 1\end{array}\right)[/tex]
    where the 1 in the last matrix represents a 2x2 identity matrix.

    I just want to know how to deal with this algebra the right way, and fast.
    If A, B, C, D, W, X, Y, and Z are 2x2 matrices.

    [tex]\left(\begin{array}{cc}A & B\\C & D\end{array}\right) \left(\begin{array}{cc}W & X\\Y & Z\end{array}\right) = \left(\begin{array}{cc}(AW+BY) & (AX+BZ)\\(CW+DY) & (CX+DZ)\end{array}\right)[/tex]

    Is this right?
     
  2. jcsd
  3. Apr 28, 2005 #2

    OlderDan

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