Matrix

A matrix (pl.: "matrices," Latin origin) is a complex ordering, in deliberate fashion, of numerals. In mathematics, a "matrix" is a regular grid of numbers, which may be manipulated and solved through intermediate-level algebra. Matrix algebra is usually taught in sophomore high school level mathematics.

Alternately, a matrix may also be a complex ordering of a group of equivalent objects, especially where the order is imposed to gain incidental benefit from the synergy of the networked objects.

Mathematics

In mathematics, matrices can be manipulated in a variety of ways, including addition and multiplication. For example, to add to matrices, one would add their respective units, thus:

<math>\begin{bmatrix}

 x      & y & z      \\
 1 & 3 & 5 \\ 
 0      & 2 & 0

\end{bmatrix} + \begin{bmatrix}

 0      & 3 & 1      \\
 4 & 3 & {x+2} \\ 
 0      & 4 & v

\end{bmatrix} </math>

would equal

<math>\begin{bmatrix} {x+0} & {y+3} & {z+1} \\ {1+4} & {3+3} & {5+(x+2)} \\ {0+0} & {2+4} & {0+v} \end{bmatrix} = \begin{bmatrix} x & {y+3} & {z+1} \\ 5 & 6 & {x+7} \\ 0 & 6 & v \end{bmatrix} </math>