Results 1 to 2 of 2

Math Help - Linear Transformations Question

  1. #1
    Junior Member
    Joined
    Oct 2008
    Posts
    29

    Linear Transformations Question

    Can every linear transformation be considered a matrix transformation?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by zerobladex View Post
    Can every linear transformation be considered a matrix transformation?

    Not precisely: there's a vector space of linear transformations and a v.s. of matrices, and they both are isomorphic when properly taken the definition realm, the image and etc.

    If we talka bout linear operators (from a v.s. to itself), then the v.s. of lin, transf. can be made into an algebra (multiplication of lin. transf. = function composition), which corresponds to square matrix multiplication and thus the isomorphism between them is one between algebras.

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: January 16th 2012, 11:39 AM
  2. Linear Transformations and the General Linear Group
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: December 26th 2011, 11:50 AM
  3. Linear transformations question
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: February 27th 2010, 05:57 PM
  4. A Question about Linear Transformations
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 25th 2010, 09:22 PM
  5. Replies: 3
    Last Post: June 2nd 2007, 11:08 AM

Search Tags


/mathhelpforum @mathhelpforum