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B Finding Bases for Row and Column Spaces

  1. Mar 16, 2019 at 9:22 PM #1
    I'm doing problems on finding row and column spaces. My textbook tells me to find the echelon form of the matrix, and then to identify the bases. My question is, can I reduce the matrix to reduced echelon form to get the bases? I have the same question about bases for the solution space.
     
    Last edited by a moderator: Mar 17, 2019 at 7:22 AM
  2. jcsd
  3. Mar 17, 2019 at 2:56 PM #2

    Ray Vickson

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    Why not? Have you tried it for yourself? Just take a simple example involving, for example, the row space for a particular three by three matrix, then try both reductions and see what you get.
     
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