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Linear algebra

  1. Jan 18, 2010 #1
    1. The problem statement, all variables and given/known data

    Determine all values of h and k for which the system has no solution:

    5x + 3y + 6z = -5
    -6x - 7y - 4z = 9
    -17x - 17y + hz = k

    k =! ?
    h = ?

    3. The attempt at a solution

    I googled the question and apparently most people solve this with a matrix, but we haven't gotten far enough in the class where we manipulate matrices or anything of the sort. Nor have we done an example of this in class. Im a bit clueless as to both what the question is asking and of course how to go about solving it.
     
  2. jcsd
  3. Jan 18, 2010 #2
    That's a system of equations with 3 variables. So, if you don't want to solve it using matrices, simply solve for x, y, and z in terms of k and h, like you would solve a normal system of equations. At that point it will be easy to determine which values of h and k give no solution to the system.
     
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