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Linear Algebra when to write matrix as a col. vector vs a row vector

  1. Jul 10, 2011 #1
    1. My question is a general question that I need the answer to so that I can fully understand the homework I am doing. When do I write given vectors as columns of a matrix, and when do I write them as rows of a matrix? More specifically, how do I write the vectors when finding:

    1) Ker(T)
    2) Linear Transformations
    3) Basis

    And rather than memorizing, is there a way to logically understand why I am writing the vectors as such? I'm sorry if this is vague, I am just trying to understand this material better. Thank you!
     
  2. jcsd
  3. Jul 10, 2011 #2
    For finding the kernel you make the vectors into columns. Not sure about the others.
     
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