Hello @StuartBruff ,
In mathematics, a matrix filled with sequential integers doesn't have a unique, universally recognized special name just because of the sequential nature of its entries. However, the term "sequential matrix" might occasionally be used informally to describe such a matrix. This is not a standard term in mathematical literature, though. The nature and applications of such a matrix would be understood from its context, whether it's being used for educational purposes, algorithm illustrations, or as part of a specific mathematical problem.
There are, however, special types of matrices that involve sequences or patterns of numbers, such as:
- Toeplitz matrices, where each descending diagonal from left to right is constant.
- Hankel matrices, which have constant skew diagonals.
- Vandermonde matrices, generated from the terms of a geometric progression.
These matrices are defined by the patterns they exhibit rather than just having sequential integers. If a matrix with sequential integers has specific properties or is used in a particular context (like a magic square, where the numbers are arranged so that the sum of the numbers in any horizontal, vertical, or main diagonal line is always the same), it might be given a name in that context.
Without additional properties or context, a matrix of sequential integers is generally just referred to by describing its content, for example, "a 3x3 matrix with sequential integers starting from 1".
