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

$1\leq i\leq M,\quad 1\leq j\leq N,\quad 1\leq k\leq P$

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

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