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Linear independent vectors

  1. Apr 4, 2010 #1
    1. The problem statement, all variables and given/known data
    Determine whether the vector v1=(!,2,3),v2(3,2,1) and v3(1,1,1) are independent or dependent.

    2. Relevant equations
    I'm so lost

    3. The attempt at a solution
    I'm so lost
  2. jcsd
  3. Apr 4, 2010 #2
    Re: Vectors

    Is that suppose to be ! or 1?

    If it is suppose to be a 1, just put it in a matrix and do reduced row echelon form. If you don't get back the identity matrix, they aren't independent.
  4. Apr 4, 2010 #3
    Re: Vectors

    I'm sorry that's suppose to be a 1
  5. Apr 4, 2010 #4
    Re: Vectors

    Ok, now just set up a 3 x 3 matrix and reduce the rows.
  6. Apr 4, 2010 #5
    Re: Vectors

    When I set up the matrix and reduce the rows. This will show if its independent or independent?
  7. Apr 4, 2010 #6


    Staff: Mentor

    Re: Vectors

    It will show whether the vectors are linearly independent or linearly dependent.
  8. Apr 4, 2010 #7
    Re: Vectors

    Yes, because if you don't obtain the identity matrix, one or two of the vectors are dependent.
    Take this rref matrix as an example.
    This is telling us the 3rd column can be written as 5v1+2v2.
  9. Apr 4, 2010 #8
    Re: Vectors

    oh okay, thanks
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