If
Show that the [MATH]detF_{n} = detF_{n-1} + detF_{n-2} , n \geq 3[/MATH]
If we apply Laplace's Theorem on column 1 its easy to see that [MATH]detF_{n} = detF_{n}(1|1) + detF_{n}(2|1) = detF_{n-1} + detF_{n}(2|1) [/MATH]I just don't know how to show that [MATH]detF_{n}(2|1) = detF_{n-2}[/MATH].
Can some 1 help me?
Show that the [MATH]detF_{n} = detF_{n-1} + detF_{n-2} , n \geq 3[/MATH]
If we apply Laplace's Theorem on column 1 its easy to see that [MATH]detF_{n} = detF_{n}(1|1) + detF_{n}(2|1) = detF_{n-1} + detF_{n}(2|1) [/MATH]I just don't know how to show that [MATH]detF_{n}(2|1) = detF_{n-2}[/MATH].
Can some 1 help me?