Exercise 2.11 Let M = (). (a) Prove that Mn+2 = (FF) where F is the nth Fibonacci num- ber.. (b) By taking determinants show that FnFn+2 - F+1 = (-1)". (c) By considering the identity Mm+n+2 Mm+1Mn+1, prove that Fm+n FmFn+ Fm-1 Fn-1- = =