On 02/19/2013 09:01 PM, email@example.com wrote: > Hello all. > > Had the idea to represent a 2d-matrix as a 1d-vector. > > <snip> Hello, and viewing things from an applied math perspective why would one want to do this? Does it facilitate calculation via computer? I'm assuming by "2d-matrix" and "1-d-vector" you mean an m x n matrix and column (or row) vector, respectively.
For characterizing physical properties in 3-space, for example, square matrices (n x n) and vectors are a notation for rank (valence) two and one tensors, respectively. (A rank 3 tensor (triadic) in 3-space has 3 ^ 3 = 27 elements and doesn't readily lend itself to traditional matrix math calculations.)
I suppose one could stack the 3 columns of a 3 x 3 matrix, for example, into one column of 9 elements and call it a "vector" but I'm unsure what advantage(s) would accrue. Sincerely,