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Abstract Matrix Notation

  1. May 31, 2003 #1
    I've been doing some computational methods work, using matrix notation. I was just wondering what the difference is between matrix notation and abstract matrix notation?

    thanks
     
  2. jcsd
  3. May 31, 2003 #2

    Hurkyl

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    I don't think I've seen that term used before, but a brief search on the web on those terms confirms my initial thought.


    "Matrix notation" is when you have selected a particular basis (bases) for the vector space (spaces) upon which you're working, and matrices are written as a 2 dimensional array of coefficients with respect to those bases.

    "Abstract matrix notation" is when you have not done the above.


    For example, suppose you premultiply a vector by a matrix to yield another vector.

    In matrix notation, it might look like:

    &Sigmaj Aij xj = yi

    In abstract matrix notation, it might look like:

    A x = y
     
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