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Linear Algebra and systems of linear equations problem

  1. Mar 9, 2010 #1
    The solution of the system
    ax + ay - z = 1
    x - ay - az = - 1
    ax - y + az = 1

    is (x,y,z) = (a,b,a). If a is not an integer, what is the value of a + b.

    A) -3/2
    B) -1
    C) 0
    D) 1/2
    E) 1

    Can anyone help I dont know how to approach this


    Ok then you get :

    a^2 + ab -a = 1
    a - ab - a^2 = -1
    a^2 - b + a^2 = 1

    I do not see how I can solve for a+ b to get an answer..
     
    Last edited: Mar 9, 2010
  2. jcsd
  3. Mar 9, 2010 #2

    Mark44

    Staff: Mentor

    Substitute the values for x, y, and z into your system and see what you get. Go from there.
     
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