The Fibonacci Matrix

The author discusses the Fibonacci sequence and its relationship to linear algebra. They explain how to calculate Fibonacci numbers in a more efficient way using matrices and eigenvectors. They also discuss the connection between the Fibonacci sequence and the golden ratio, showing how the ratios between Fibonacci numbers approximate the golden ratio. The author highlights the duality of matrices as transformations and state machines, and emphasizes the relevance of linear algebra in understanding the Fibonacci sequence. They also mention the concept of eigenvalues and eigenvectors and explain their role in computing Fibonacci numbers in constant time.

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