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Solve this tricky Column Matrix equation

  1. Apr 26, 2009 #1
    1. The problem statement, all variables and given/known data
    Solve the matrix equation:

    [10 1 9
    1 4 3
    2 -1 3] X = 3X

    where X is a column matrix. Please show all the steps, thanks.

    3. The attempt at a solution

    I think the solution is X = kU, where k is any constant and U is the vector...
    yet not really sure how to do this...can somebody show me all the steps?
     
  2. jcsd
  3. Apr 26, 2009 #2

    dx

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    Homework Helper
    Gold Member

    Hint: Let A be the matrix. Then you want to solve Ax = 3x. This is equivalent to (A-3I)x = 0, where I is the identity matrix. Write it in this form and it will be easier to see a solution.
     
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