# A note on the invariance of the general $2 \times 2$ matrix anti-diagonals ratio with increasing matrix power: Four proofs

Hdl Handle:
http://hdl.handle.net/10545/620856
Title:
A note on the invariance of the general $2 \times 2$ matrix anti-diagonals ratio with increasing matrix power: Four proofs
Authors:
Larcombe, Peter J.
Abstract:
An invariance matrix property, first observed empirically and seemingly absent from mainstream literature, is stated and established formally here. Four short, and different, proofs are given accordingly.
Affiliation:
University of Derby
Citation:
Larcombe, P. J. (2015) 'A note on the invariance of the general $2 \times 2$ matrix anti-diagonals ratio with increasing matrix power: Four proofs', Fibonacci Quarterly, 53 (4)
Publisher:
The Fibonacci Association
Journal:
Fibonacci Quarterly
Issue Date:
Nov-2015
URI:
http://hdl.handle.net/10545/620856
http://www.fq.math.ca/index.html; http://www.fq.math.ca/53-4.html
Type:
Article
Language:
en
ISSN:
0015-00517
Appears in Collections:
Department of Electronics, Computing & Maths

DC FieldValue Language
dc.contributor.authorLarcombe, Peter J.en
dc.date.accessioned2016-11-15T12:30:09Z-
dc.date.available2016-11-15T12:30:09Z-
dc.date.issued2015-11-
dc.identifier.citationLarcombe, P. J. (2015) 'A note on the invariance of the general $2 \times 2$ matrix anti-diagonals ratio with increasing matrix power: Four proofs', Fibonacci Quarterly, 53 (4)en
dc.identifier.issn0015-00517-
dc.identifier.urihttp://hdl.handle.net/10545/620856-
dc.description.abstractAn invariance matrix property, first observed empirically and seemingly absent from mainstream literature, is stated and established formally here. Four short, and different, proofs are given accordingly.en
dc.language.isoenen
dc.publisherThe Fibonacci Associationen
dc.relation.urlhttp://www.fq.math.ca/index.htmlen
dc.relation.urlhttp://www.fq.math.ca/53-4.htmlen
dc.subjectDiscrete mathematicsen
dc.subjectApplied mathematicsen
dc.titleA note on the invariance of the general $2 \times 2$ matrix anti-diagonals ratio with increasing matrix power: Four proofsen
dc.typeArticleen
dc.contributor.departmentUniversity of Derbyen
dc.identifier.journalFibonacci Quarterlyen