X-Y-Z matrix
Encyclopedia
An X–Y–Z matrix is a generalization of the concept of matrix
Matrix (mathematics)
In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions. The individual items in a matrix are called its elements or entries. An example of a matrix with six elements isMatrices of the same size can be added or subtracted element by element...

 to three dimensions.

An X–Y–Z matrix will thus have components where


for some positive integers

Such matrices are helpful for example when considering grid
Grid
Grid or The Grid may refer to:In entertainment and media:* The Grid, an electronic dance group* Kevorkian Death Cycle, a music group formerly called Grid* The Grid , a 2001 third person shooter...

s in three dimensions, as in computer simulation
Computer simulation
A computer simulation, a computer model, or a computational model is a computer program, or network of computers, that attempts to simulate an abstract model of a particular system...

s of three-dimensional
Three-dimensional space
Three-dimensional space is a geometric 3-parameters model of the physical universe in which we live. These three dimensions are commonly called length, width, and depth , although any three directions can be chosen, provided that they do not lie in the same plane.In physics and mathematics, a...

problems.
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