Linear algebra and dimensions

  • Thread starter Niles
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Homework Statement


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.

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.
 

Answers and Replies

  • #2
Dick
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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.
 
  • #3
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I see.. thanks!
 

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