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Basis for row and column space

  1. Nov 9, 2008 #1
    1. The problem statement, all variables and given/known data

    Can anyone help me figure out basis for RS(A) and basis for CS (A) along with their dimension?
    I mean dim CS(A) and dim RS(A)

    where A is
    [1 -2 4 1]
    [0 7 -15 -4]
    [0 0 0 0]


    2. Relevant equations



    3. The attempt at a solution

    are all non zero rows the basis for RS (A)?
     
  2. jcsd
  3. Nov 9, 2008 #2

    Hurkyl

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    Staff Emeritus
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    Gold Member

    You tell me? To be a basis, you need three things:
    1. Each of the nonzero rows are elements of RS(A)
    2. The nonzero rows span RS(A)
    3. The nonzero rows are linearly independent.
    (Right? This should be familiar....)

    Are all of these conditions satisfied?
     
  4. Nov 10, 2008 #3
    yeah, right. so the dimension of the RS(A) is the number of elements of it, correct?
     
  5. Nov 10, 2008 #4
    What does "RS" mean?
     
  6. Nov 10, 2008 #5
    row space
     
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