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Reduce System, and indicate for which values a and b the system will have 1,inf &No

  1. Sep 17, 2012 #1
    1. The problem statement, all variables and given/known data

    For the following system, indicate for what values of a and b the system will have
    i.) One Solution
    ii.) No Solutions
    iii.) Infinitely Many Solutions

    2. Relevant equations
    2x + y - az = 1
    5x + 3y - 2az = 2+2b
    x + y + az = b


    3. The attempt at a solution

    [ 1 0 -2a | 1-b ]
    [ 0 1 2a | 3b-1 ]
    [ 0 0 a | -b ]

    Every time I row reduce the system I end up with a row echelon form that leaves me with no means to decipher a and b. Making me think I'm doing something wrong.

    Thanks.
     
    Last edited: Sep 18, 2012
  2. jcsd
  3. Sep 18, 2012 #2

    Dick

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    Science Advisor
    Homework Helper

    Re: Reduce System, and indicate for which values a and b the system will have 1,inf &

    I think you'll need to show use what you got for the row echelon reduction before anyone can comment.
     
  4. Sep 18, 2012 #3
    Re: Reduce System, and indicate for which values a and b the system will have 1,inf &

    Yeah I just put it in the original post.

    Thank you for the heads up.
     
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