## Rabbits, Matrices and the Golden Section – nth term of the Fibonacci Sequence by diagonalising a matrix

Fibonacci Sequence Leonardo Pisano, or Leonardo Fibonacci, studied rabbit populations in 1202 in the following way. Rabbit couples (male and female) inhabit an island. Each rabbit couple becomes fertile 2 months after being born and then begets a male-female pair every month thereafter. If the population of the island starts with one couple, how many …