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Topic: matrices as vectors
Replies: 4   Last Post: Feb 22, 2013 12:43 PM

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J.B. Wood

Posts: 45
Registered: 8/29/06
Re: matrices as vectors
Posted: Feb 21, 2013 6:50 AM
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On 02/19/2013 09:01 PM, leonard14279@gmail.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,

--
J. B. Wood e-mail: arl_123234@hotmail.com



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