Continued-fraction matrix
= Continued-fraction matrix
With $M(a)=\left(\begin{smallmatrix}a&1\\1&0\end{smallmatrix}\right)$,
$$
M(a_0)\cdots M(a_n)
=\begin{pmatrix}p_n&p_{n-1}\\q_n&q_{n-1}\end{pmatrix}.
$$
= Continued-fraction matrix
With $M(a)=\left(\begin{smallmatrix}a&1\\1&0\end{smallmatrix}\right)$,
$$
M(a_0)\cdots M(a_n)
=\begin{pmatrix}p_n&p_{n-1}\\q_n&q_{n-1}\end{pmatrix}.
$$