Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

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

 Messages: [ Previous | Next ]
 J.B. Wood Posts: 46 Registered: 8/29/06
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 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