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Homework Help: Subspace , spanning

  1. Mar 3, 2009 #1
    1. The problem statement, all variables and given/known data
    for each s belongs to R determine whether the vector y is in the subspace of R^4 spanned by the columns of A where
    y=6
    7
    1
    s


    A= 1 3 2
    -1 -2 1
    3 8 1
    4 9 3

    (sorry for that , because i dont know how to use a BIG bracket)
    2. Relevant equations



    3. The attempt at a solution
    Can i use the Gaussian process?
     
  2. jcsd
  3. Mar 3, 2009 #2

    Mark44

    Staff: Mentor

    The question you're trying to answer is whether y = c1*(column 1 of A) + c2*(column 2 of A) + c3*(column 3 of A) for some scalars c1, c2, and c3. Set up an augmented matrix with this information and use row reduction (I believ this is also called Gaussian elimination) to find out.
     
  4. Mar 4, 2009 #3
    solved , thx
     
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