X–Y–Z matrix

3-dimensional visualization of the Levi-Civita symbol

In mathematics, an X–Y–Z matrix is a generalization of the concept of matrix to three dimensions.

An X–Y–Z matrix $A$ will thus have components $A_{i,j,k}$ with

$1\le i\le M,1\le j\le N,1\le k\le P$

for some positive integers $M,N,P.$

Such matrices are helpful, for example, when considering grids in three dimensions, as in computer simulations of three-dimensional problems.

See also

• Cartesian coordinate system
• Sparse array
• Tensor