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ERIC Number: EJ884058
Record Type: Journal
Publication Date: 2010
Pages: 9
Abstractor: ERIC
Reference Count: 10
ISSN: ISSN-0020-739X
Some New Fibonacci and Lucas Identities by Matrix Methods
Keskin, Refik; Demirturk, Bahar
International Journal of Mathematical Education in Science and Technology, v41 n3 p379-387 2010
The aim of this article is to characterize the 2 x 2 matrices "X" satisfying X[superscript 2] = X + I and obtain some new identities concerning with Fibonacci and Lucas numbers. The recommendations regarding the teaching of the identities given in this article can be presented in two cases. The first is related to the pedagogical aspect. The identities require the use of mathematical knowledge learned in different courses. By this way, the authors consider to affect students' motivation in a positive direction. The second recommendation is related to the qualification of these identities. Their identities are different from other known identities and their method exploits the properties of matrix algebra to find more general identities.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A