The College Mathematics Journal
A recurrence matrix is defined as a matrix whose entries (read left-to-right, row-by-row) are sequential elements generated by a linear recurrence relation. The maximal rank of this matrix is determined by the order of the corresponding recurrence. In the case of an order-two recurrence, the associated matrix fails to have full rank whenever the ratio of the two initial values of the sequence is an eigenvalue of the relation.
Algebras, Linear; Arithmetic--Study and teaching; Matrices
Citation: Pilot Scholars Version (Modified MLA Style)
Lee, Christopher and Peterson, Valerie, "The Rank of Recurrence Matrices" (2014). Mathematics Faculty Publications and Presentations. Paper 9.