Results 1 to 2 of 2

Math Help - Inverse Matrices

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    12

    Inverse Matrices

    Hello Everyone,

    Really confused by this question, it might just be the wording of the question as a whole, but I was hoping someone would be able to give me some insight or clarification?


    If
    A, B and C are n x n invertible matrices, is there a matrix X that satisfies the matrix equation AC^-1(2X + A)AB^-1 = In? If so, find X.

    Thanks

    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,373
    Thanks
    1314
    Quote Originally Posted by needshelp12 View Post
    Hello Everyone,

    Really confused by this question, it might just be the wording of the question as a whole, but I was hoping someone would be able to give me some insight or clarification?


    If
    A, B and C are n x n invertible matrices, is there a matrix X that satisfies the matrix equation AC^-1(2X + A)AB^-1 = In? If so, find X.

    Thanks

    Solve for X just like you would any linear equation. The only thing to be careful about is that multiplication of matrices is not commutative so you have to be careful to multiply on the correct side. To get you started, looking at AC^{-1}(2X+ A)AB^{-1}= I_n and seeing that "A" on the left, I would multiply on the left by A^{-1} to get C^{-1}(2X+ A)AB^{-1}= A^{-1}I_n= A^{-1}. Seeing the " B^{-1}" on the right I would multiply on the right by B: C^{-1}(2X+ A)A= A^{-1}B. Continue!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. inverse matrices with ti 89
    Posted in the Calculators Forum
    Replies: 2
    Last Post: May 14th 2011, 05:36 AM
  2. Inverse Matrices
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: December 30th 2009, 07:41 PM
  3. inverse matrices
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: December 19th 2008, 10:43 AM
  4. inverse matrices
    Posted in the Algebra Forum
    Replies: 6
    Last Post: July 15th 2008, 08:49 PM
  5. inverse matrices
    Posted in the Algebra Forum
    Replies: 8
    Last Post: October 15th 2006, 08:31 AM

Search Tags


/mathhelpforum @mathhelpforum