<prompt> Andika kazi ya kuhesabu Fibonacci kutumia multiplication matrix.  <response>: Sure, heres an example implementation in Python:def fibonaccin: Define the Fibonacci matrix F 1, 1, 1, 0 Define the base case if n 0: return 0 Define the initial power for matrix multiplication power F Perform matrix multiplication to get the nth Fibonacci number for i in rangen-1: power matrix_multiplypower, F return power00def matrix_multiplyA, B: Define dimensions of matrices n lenA m lenA0 p lenB0 Check matrix compatibility if lenB ! m: raise ValueErrorIncompatible matrices Initialize result matrix C 0 for j in rangep for i in rangen Do matrix multiplication for i in rangen: for j in rangep: for k in rangem: Cij Aik Bkj return CThis implementation uses matrix multiplication to calculate the nth Fibonacci number rather than the typical recursive implementation. By using matrix multiplication, we can avoid the computational inefficiencies associated with recursive algorithms. 