Fibonacci Matrix

The fibonachi matrix is:

$$\left[\begin{array}{cc}1& 1\\ 1& 0\end{array}\right]$$

As

$$\left[\begin{array}{cc}1& 1\\ 1& 0\end{array}\right]\left[\begin{array}{c}{f}_{n-1}\\ f_{n-2}\end{array}\right]=\left[\begin{array}{c}{f}_n\\ f_{n-1}\end{array}\right]$$