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Homework Help: Matrix Problem with an Unknown quantity

  1. Mar 3, 2010 #1
    I have the following matrix, C =

    3 2 1 9
    4 2 6 12
    1 4 -3 3
    0 1 8 (3-b)

    y1=[-1 -1 1 -1] transpose

    For the vector y, I need to find all values of b such that the system of equations y=Cx has no unique solutions. Can someone help....

  2. jcsd
  3. Mar 3, 2010 #2


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    Science Advisor
    Homework Helper

    Perhaps the easiest approach is a "calculational" one... Suppose that a value for b was given. Then how would you go about solving y = Cx. At what point would you be able to tell if there was a unique solution?
  4. Mar 3, 2010 #3
    I do the problems mostly with mathlab. Anyway, when rank r(A) equals n then there exist a unique solution. But I don't know how to find r(A)!
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