Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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?

  2. jcsd
  3. May 31, 2003 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Abstract Matrix Notation Date
Are natural numbers mental abstractions? Aug 19, 2017
I Not sure how to deal with the abstract nature of maths Sep 10, 2016
B Predicting outputs of f(x)=(1+i)^x Jul 30, 2016
I Group theory Apr 18, 2016