FAMOUS Cassini Identity for the Fibonacci Sequence! | BEAUTIFUL Proof!

The famous Cassini identity for the Fibonacci sequence F_n states:

F_{n-1}F_{n+1} - F_n^2 = (-1)^n

We prove the identity using a beautiful connection between the Fibonacci numbers and the world of 2 x 2 matrices. The video is designed for people familiar with matrix multiplication and determinants, and interested in proof-based math, interesting properties of numerical sequences, and elegant math identities.

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Видео FAMOUS Cassini Identity for the Fibonacci Sequence! | BEAUTIFUL Proof! канала Math Mastery with Amitesh