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Re: matrices as vectors
Posted:
Feb 21, 2013 6:50 AM


On 02/19/2013 09:01 PM, leonard14279@gmail.com wrote: > Hello all. > > Had the idea to represent a 2dmatrix as a 1dvector. > > <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 "2dmatrix" and "1dvector" you mean an m x n matrix and column (or row) vector, respectively.
For characterizing physical properties in 3space, 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 3space 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,
 J. B. Wood email: arl_123234@hotmail.com



