 Lehmer matrix

In mathematics, particularly matrix theory, the "n×n" Lehmer matrix (named after Derrick Henry Lehmer) is the constant symmetric matrix defined by

As can be seen in the examples section, if "A" is an "n×n" Lehmer matrix and "B" is an "m×m" Lehmer matrix, then "A" is a submatrix of "B" whenever "m">"n".The values of elements diminish toward zero away from the diagonal, where all elements have value 1.