A CONDITION FOR ANTI-DIAGONALS PRODUCT INVARIANCE ACROSS POWERS OF 2 x 2 MATRIX SETS CHARACTERIZING A PARTICULAR CLASS OF POLYNOMIAL FAMILIES

摘要

Motivated by some recent work on a particular class of polynomial families associated with certain types of integer sequences, we formulate a sufficient condition under which the anti-diagonals products across sets of characterizing 2 × 2 matrices remain invariant as matrix power increases. Two proofs are given along with some examples.