Results 1 to 5 of 5

Math Help - Transpose of a transpose

  1. #1
    Junior Member
    Joined
    Apr 2008
    Posts
    35

    Transpose of a transpose

    'Taking transpose of transpose matrix gives the initial matrix'.
    Is there an interesting real life example that can be used to explain this concept. Thanks in advance for any reply.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,368
    Thanks
    1313
    What is your definition of "transpose of a matrix"?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member Tinyboss's Avatar
    Joined
    Jul 2008
    Posts
    433
    I'm not sure what "real world" means for you. You could think of it as flipping the matrix across the main diagonal, in which case it's geometrically intuitive that flipping it again gets you back where you started. I think of transposes as induced maps on dual spaces, but I don't know of any real-world analogies for that concept.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Apr 2008
    Posts
    35
    Transpose of a matrix is when we swap the entries of rows and columns.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Mar 2011
    From
    Tejas
    Posts
    3,310
    Thanks
    687
    and what happens when we do this twice? think of a typical entry ai,j in the matrix A.

    when we take the transpose, it is now in position j,i. when we take the transpose again, it goes to position i,j again...back where it started.

    if this argument does not convince you, practice with a few 3x3 matrices.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Matrix and Its Transpose
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: February 2nd 2011, 03:23 PM
  2. Replies: 13
    Last Post: December 9th 2010, 03:19 PM
  3. help with transpose plz
    Posted in the Algebra Forum
    Replies: 5
    Last Post: April 2nd 2010, 03:10 AM
  4. Transpose
    Posted in the Algebra Forum
    Replies: 2
    Last Post: November 23rd 2008, 10:20 AM
  5. transpose
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 8th 2008, 07:15 AM

Search Tags


/mathhelpforum @mathhelpforum