Results 1 to 3 of 3

Math Help - Matrix Equations help

  1. #1
    Newbie
    Joined
    Apr 2012
    From
    Austin, Texas
    Posts
    10

    Matrix Equations help

    I'm not too good with matrix equations and how to go about solving or even just simplifying them. An example from my text book is:

    "Suppose that A is a square matrix of size n x n that satisfies the the matrix equation

    A15ATA14 + 72A6(AT)2A5 + 16AATA3 - 7I = 0

    Show that the matrix A is invertible and find an expression for A-1 in terms of A"

    How can I go about solving this? I don't even know where to start :S

    Therefore, any help would be greatly appreciated.

    Thanks,
    Mark
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Jan 2008
    From
    UK
    Posts
    484
    Thanks
    65

    Re: Matrix Equations help

    A(a14ata14 + 72a5(at)2a5 + 16ata3) = 7I
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2012
    From
    Austin, Texas
    Posts
    10

    Re: Matrix Equations help

    Ah, does it then follow that

    A-1 = 1/7A14ATA14 + 72/7A5(AT)2A5 + 16/7ATA3 ?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. System of Equations/ Matrix help??
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: April 22nd 2012, 09:34 PM
  2. matrix equations
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: February 28th 2012, 10:09 PM
  3. a question of matrix equations
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: May 10th 2010, 09:41 PM
  4. Matrix equations
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 29th 2010, 09:22 PM
  5. Matrix Linear Equations
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: August 31st 2008, 10:36 PM

Search Tags


/mathhelpforum @mathhelpforum