Results 1 to 2 of 2

Math Help - matrices, inverses, transposes, r.r.e.f...

  1. #1
    Member
    Joined
    Jan 2009
    Posts
    83

    matrices, inverses, transposes, r.r.e.f...

    Ok.. I have a series of problems..

    I have a square matrix, P, I also have a function, F, that computes < m x n matrix|m x m identity matrix>

    I have to find F(P), F(Transpose(P)), F(P . Transpose(P)), F(Transpose (P) . P)

    I also have to find their row reduced echelon forms and comment on their results

    obviously some of these matrices are square, and so the row reduced echelon form of F finds their inverse.. but what about for those that arent square?

    what are the comments I should be making?

    many thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Jan 2009
    Posts
    83
    a couple extra thoughts/questions..

    I am aware that if you have a square matrix, H, and you row reduce the augmented matrix <H|I> You return with <I|InverseH>

    is there a result for non square matrices?

    And is there a result if you perform this with a non square matrix and its transpose - are the reults related?.

    and what about if you carry this out on H . Transpose(H)

    and then Transpose(H) . H of course these are square so you will end up with the inverse of each, but are these inverses related?

    many thnaks
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Matrices and inverses
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: July 4th 2011, 10:25 PM
  2. Inverses of matrices
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: January 24th 2011, 07:34 AM
  3. Matrices which are their own inverses
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: February 19th 2009, 10:51 PM
  4. singular matrices, transposes etc
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: February 18th 2009, 04:56 AM
  5. inverses of matrices
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: October 26th 2007, 12:05 PM

Search Tags


/mathhelpforum @mathhelpforum