ON THE SIMILARITY OF TWO KINDS OF LOWER TRIANGULAR PASCAL TYPE MATRICES
Sheng-Liang Yang · Journal of Mathematics · 2011
This article investigates the connection between the lower triangular Pascal matrix and shifted Pascal matrix. By using combinatorial indentities and factorization of matrices, we show that the Pascal matrix and shifted Pascal matrix are similar to each other. Transition matrices between these two kinds of matrices and their Jordan canonical forms are found, and the minimal polynomials for the matrices over the field Zp are also obtained.