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Fibonacci Identities via the Determinant Sum Property

by Mike Spivey

This article originally appeared in:
College Mathematics Journal
September, 2006

Subject classification(s): Algebra and Number Theory | Linear Algebra | Matrix Algebra | Numbers and Computation | Patterns and Sequences | Number Patterns
Applicable Course(s): 1.0 Remedial | 3.8 Linear/Matrix Algebra | 4.3 Number Theory

This capsule uses the determinants of matrices to study Fibonacci numbers. Specifically, the sum property of the determinant is used to derive identities between Fibonacci numbers.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

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Capsule Course Topic(s):
Linear Algebra | Determinants
Number Theory | Numbers With Special Forms or Properties
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