Fibonacci determinant identity

For nonnegative

n, m, l

,

F_{n + l} F_{n + m} - F_{n} F_{n + m + l} = (- 1)^{n} F_{m} F_{l} .

Cassini's identity is the adjacent-index special case.

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Past exam of the mathematics course of the University of Cambridge / 2021 / ia / Paper 4 / 2E / ii / Solution
Past exam of the mathematics course of the University of Cambridge / 2024 / ia / Paper 4 / 6E / i / Solution

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