1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Gaussian Elimination

  1. Oct 24, 2007 #1
    I used Gaussian elimination on a matrix to find the soultions. I know that there is either no solutions or infinatley many, but the matrix is confusing me.

    The only definition I have of when a matrix has infinatley many solutions is when a zero row is equal to zero, and no solutions when a zero row is equal to a real number.

    But in this case is it infinatley many solutions or no solutions?

    1 2 3 | 4

    0 3 1 | 1

    0 3 1 | 0

    Where 3y + z = 1 and 0.

    Thanks
     
    Last edited: Oct 24, 2007
  2. jcsd
  3. Oct 24, 2007 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    0 is a real number! You mean a non-zero number.

    You haven't finished your Gaussian Elimination. Subtract the second row from the third.
     
  4. Oct 24, 2007 #3

    mjsd

    User Avatar
    Homework Helper

    your matrix is not in reduced-echelon form yet. do row 2 minus row 3 and see...
     
  5. Oct 24, 2007 #4
    ah, so no solutions :P thanks
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Gaussian Elimination
  1. Gaussian Elimination (Replies: 6)

Loading...