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Linear algebra and dimensions

  1. Dec 23, 2007 #1
    1. The problem statement, all variables and given/known data
    If we have a matrix in R^(2x3), what dimension does this matrix have?

    My book doesn't answer this question - it only tells me what the dimensions are of the different spaces, not of the matrix as a whole.

    3. The attempt at a solution
    I would think the dimension is the number of columns, but it's just a guess. I hope you guys can clarify this for me.
  2. jcsd
  3. Dec 23, 2007 #2


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    There are six independent numbers in a 2x3 matrix. So the dimension of the vector space of 2x3 matrices is six. That's the only sense I can think of to talk about the 'dimension' of a matrix.
  4. Dec 23, 2007 #3
    I see.. thanks!
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