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Curated by: Mathemaniac (96 videos)
Previous video: https://youtu.be/2j-XvUV2-aY Fibonacci and Combinatorics (Part I): https://youtu.be/Hl61mJxILA4 Fibonacci and Combinatorics (Part II): https://youtu.be/_RHXmGWXUvw Linear Algebra is another plausible method to tackle any recurrence relation formula, including Fibonacci sequence, whose formula for general term is known as Binet formula. This uses diagonalization of matrices, which in turn requires eigenvalues and eigenvectors, as well as matrix inverses. Note: A similar question was given as exercise when I was learning linear algebra in high school, so this idea is definitely not original. If you want further information on eigenvalues and eigenvectors, here it is: https://www.scss.tcd.ie/~dahyotr/CS1BA1/SolutionEigen.pdf Other than commenting on the video, you are very welcome to fill in a Google form linked below, which helps me make better videos by catering for your math levels: https://forms.gle/QJ29hocF9uQAyZyH6 If you want to know more interesting Mathematics, stay tuned for the next video! SUBSCRIBE and see you in the next video! #mathemaniac #math #fibonacci #generalterm #binetformula #linearalgebra #goldenratio