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Homework Help: Another matrix question

  1. May 19, 2015 #1
    1. The problem statement, all variables and given/known data
    \begin{array}{rrr|r} -1 & 2 & -1 & -3 \\ 2 & 3 & α-1 & α-4 \\ 3 & 1 & α & 1 \end{array}

    [tex]α∈ℝ[/tex]
    for the augmented matrix, what value of α would make the system consistent?

    2. Relevant equations
    N/A
    Answer: α=2
    3. The attempt at a solution
    I know that the system has to have an infinite or unique amount of solutions to be consistent and you have to perform Gaussian elimination?
     
  2. jcsd
  3. May 19, 2015 #2

    Ray Vickson

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    Science Advisor
    Homework Helper

    If you think that Gaussian elimination is (maybe) the way to go, then just do it! That way you will find out if it works, or not. That is the very best way to learn.
     
    Last edited: May 19, 2015
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