What is the Dimension of a Matrix in R^(2x3)?

[Niles]

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.

 

[Dick]

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.

 

[Niles]

I see.. thanks!