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Check Answer - Matrix & Values of K

  1. Apr 16, 2012 #1
    Question :
    Consider the following augmented matrix for a system of linear equations.
    1 2 3 | 4 
    0 1 2  3 |
    | 0 0 k − 1  0 |
    0 0 0 | k^2−1 

    where k is some real number. For which values of k does the system have
    (a) no solutions?
    (b) infinitely many solutions?
    (c) a unique solution?
    [ Better version available here ---> http://imageshack.us/photo/my-images/839/screenshot20120416at636.png/ ]


    Answer:

    a) k is not equal to 1 or -1
    b) k = 1
    c) k =-1


    Just wanted to see if I had it right, and had missed anything, as I had a bit of deliberation for the answers :)
     
  2. jcsd
  3. Apr 16, 2012 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Yes, that is correct.
     
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