Results 1 to 3 of 3

Math Help - Need help and finding the inverse of this matrix.

  1. #1
    Newbie
    Joined
    Jun 2010
    Posts
    23

    Need help and finding the inverse of this matrix.

    Not sure whether to post this on the Linalg forums or the DE forums but I'm having trouble finding the inverse of a matrix needed to solve a system of non-HDEs.

    Here's the matrix in maple.


    Now I'm wondering how you can reduce the first matrix to the identity matrix in order to get it's inverse (the second matrix)? Since you can only use scalar multiplication of rows, row switching and scalar multiplication of one row + another row as row operations while this matrix is composed of exponential functions.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Mar 2011
    From
    Tejas
    Posts
    3,150
    Thanks
    591
    just treat e^t as a scalar (it is a scalar-valued function). multiplying a row (say the 2nd) by e^t, for example, is just multiplying by the matrix:

    [1 ..0. 0]
    [0 e^t 0]
    [0 ..1. 0]

    (in other words, the field of scalars is actually some field of functions. these things exist).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jun 2010
    Posts
    23
    Thanks alot, just crunched it out just now by treating e^t as a scalar and the matrices match.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding the inverse of a matrix
    Posted in the Algebra Forum
    Replies: 5
    Last Post: May 5th 2011, 07:44 AM
  2. [SOLVED] Finding the inverse of a matrix using it's elementary matrix?
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: March 7th 2011, 06:08 PM
  3. Finding inverse of a matrix (A^-1)
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: May 13th 2010, 05:01 AM
  4. finding a matrix given the inverse
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: November 3rd 2009, 04:02 AM
  5. Finding inverse of a 3X3 Matrix
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: August 4th 2008, 08:45 PM

Search Tags


/mathhelpforum @mathhelpforum