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Specially structured matrices and some algebraic properties

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2024
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Abstract (EN)

In this thesis, some specially structured combinatorial matrix families have been examined. The entries of these matrices are defined as q-versions of generalized Fibonacci and Lucas numbers. Some algebraic properties of these new matrices (algebraic properties such as determinant, eigenvalue, inverse, LU decomposition, decomposition of inverse matrices, etc.) have been obtained. Classical proof methods were used to prove the obtained results.

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Didem Ersanlı

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Didem Ersanlı (Doctorate thesis). Specially structured matrices and some algebraic properties, 2024, TOBB Economics and Technology University.

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