Results 1 to 2 of 2

Math Help - quick question about gaussian elimination

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    california
    Posts
    15

    quick question about gaussian elimination

    i haven't come across a matrix that looks like the following:
    | 0 2 |
    | 0 0 |.

    i know to set y=s for the second row.
    would the first row be x=0 from 0x=-2s?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Apr 2013
    From
    Canada
    Posts
    42
    Thanks
    2

    Re: quick question about gaussian elimination

    I'm assuming that
    | 0 2 |
    | 0 0 |
    is a coefficient matrix A for some
    AX=C, where
    X = [x y]^T (X is the column vector of variables)
    C = [a b] (C is just some column vector of constants)

    In that case x does not equal 0. In fact, x is not even in the system of equations since its coefficients are all 0's anyways.
    Rewritten in the form of equations, your matrix translates to:
    0x + 2y = a
    0x + 0y = b

    So if b does not equal 0, then there is no solution to the matrix
    also y = a/2 for all possible values of a
    x can be anything.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: September 12th 2011, 09:03 PM
  2. Replies: 1
    Last Post: February 16th 2011, 02:06 PM
  3. Gaussian Elimination Method Question?
    Posted in the Advanced Applied Math Forum
    Replies: 11
    Last Post: July 23rd 2010, 06:55 AM
  4. Gaussian elimination
    Posted in the Number Theory Forum
    Replies: 3
    Last Post: February 8th 2010, 11:53 AM
  5. Gaussian Elimination. Question is attached.
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 11th 2008, 06:11 AM

Search Tags


/mathhelpforum @mathhelpforum