Fibonacci determinant identity
= Fibonacci determinant identity
{c}
For nonnegative $n,m,l$,
$$
F_{n+l}F_{n+m}-F_nF_{n+m+l}
=(-1)^nF_mF_l.
$$
Cassini's identity is the adjacent-index special case.
= Fibonacci determinant identity
{c}
For nonnegative $n,m,l$,
$$
F_{n+l}F_{n+m}-F_nF_{n+m+l}
=(-1)^nF_mF_l.
$$
Cassini's identity is the adjacent-index special case.