Journal Title

The College Mathematics Journal

Publication Date

5-2014

Abstract

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.

Subjects

Algebras, Linear; Arithmetic--Study and teaching; Matrices

Publication Information

The College Mathematics Journal, 2014, Volume 45, Issue 3, 207-215.

© 2014 Mathematical Association of America

Archived version is the final published version.

DOI

10.4169/college.math.j.45.3.207

Peer-Reviewed

Yes

Document Type

Journal Article

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