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Vectors-Solution Set

  1. Oct 13, 2008 #1
    How can I determine the solution set?

    (1+2i)x1 + (1-i)x2 + x3 = 0,
    ix1 + (1+i)x2 - ix3 = 0,
    2ix1 + ix2 + (1+3i)x3 = 0.

  2. jcsd
  3. Oct 13, 2008 #2


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    Homework Helper

    Simply perform row-reduction to reduce the system to its row echelon form. The only difference with this and matrices containing only real numbers is that you can now multiply row by complex numbers as well.
  4. Oct 13, 2008 #3


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    Staff Emeritus
    Science Advisor

    Or just solve the three equations the way you learned to solve linear equations way back. For example, subtracting 2 times the second equation from the third eliminates x1.
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