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Linear Algebra Question

  1. Sep 18, 2009 #1
    1. The problem statement, all variables and given/known data
    Consider the homogenous system:
    [tex]L_1 \rightarrow (4-t)x + y = 0[/tex]
    [tex]L_2 \rightarrow 2x + (3 -t)y = 0[/tex]

    Find two values of t that make the system dependent.
    For each value of t, find a nonzero solution to the the system.

    2. Relevant equations

    3. The attempt at a solution
    You can't use t = 4 or t = 3 because it will lead to a zero solution.
    I have found one of the values is t = 2, but I can't seem to find another value for t that makes the system dependent.
  2. jcsd
  3. Sep 18, 2009 #2


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    Science Advisor

    Try filling in step 2. What equation can you give which will define the propoerty of making the system dependent?
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