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

What is the essence of determinant?

  1. Aug 29, 2011 #1
    the definition of a determinant is not simple at the first sight

    however we still have extremely simple relation det(AB)=det(A)det(B)

    it seems that the grassmann algebra is the essence behind determinant, isn't it?
  2. jcsd
  3. Aug 29, 2011 #2
    Part of the problem is that a matrix can represent many different (and intrinsically different) things: a system of linear equations; a linear transformatio; the adjacency
    relation in a graph, etc. , so I don't think a single interpretation for det is reasonable.

    Do you have a particular use/context for a matrix in mind?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - essence determinant Date
B Why the hate on determinants? Jun 9, 2017
I Proving a result about invertibility without determinants Feb 27, 2017
I Using determinant to find constraints on equation Jan 15, 2017
A Exterior Algebra Dual Jul 6, 2016