Results 1 to 2 of 2

Math Help - Gauss-Jordan Elimination

  1. #1
    Junior Member
    Joined
    Oct 2009
    Posts
    57

    Gauss-Jordan Elimination

    Hello,

    I'm asked to solve the following for all variables ( x_1,x_2,x_3,x_4,x_5) using Gauss-Jordan elimination:

    x_2 + 2x_4 + 3x_5 = 0
    4x_4 + 8x_5 = 0

    I know how to solve this using Gauss-Jordan, and I already did so, and found the solution to be:

    x_2 = x_5
    x_4 = -2x_5
    or
    (x_2,x_4,x_5) = (t,-2t,t) for some t.

    What I'm confused about is how to solve this for x_1 and x_3. They don't show up anywhere in the system of equations. How am I supposed to solve for them?

    Thanks for your help,
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor FernandoRevilla's Avatar
    Joined
    Nov 2010
    From
    Madrid, Spain
    Posts
    2,162
    Thanks
    45
    Quote Originally Posted by centenial View Post
    What I'm confused about is how to solve this for x_1 and x_3. They don't show up anywhere in the system of equations. How am I supposed to solve for them?
    Equivalent to add 0x_1 and 0x_3 . So, x_1=\lambda,\;x_3=\mu\quad (\lambda,\mu\in\mathbb{R})



    Fernando Revilla
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: September 12th 2011, 10:03 PM
  2. Replies: 1
    Last Post: February 16th 2011, 03:06 PM
  3. Gauss-Jordan elimination
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: March 18th 2010, 11:42 AM
  4. Gauss-Jordan Elimination
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: June 1st 2009, 02:59 PM
  5. gauss jordan elimination
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 24th 2009, 11:30 AM

Search Tags


/mathhelpforum @mathhelpforum