  We present in this work a proof of the exponential dichotomy for dynamically
defined matrix-valued Jacobi operators in $(\mathbb{C}^{l})^{\mathbb{Z}}$,
given for each $\omega \in \Omega$ by the law $[H_{\omega} \textbf{u}]_{n} :=
D(T^{n - 1}\omega) \textbf{u}_{n - 1} + D(T^{n}\omega) \textbf{u}_{n + 1} +
V(T^{n}\omega) \textbf{u}_{n}$, where $\Omega$ is a compact metric space, $T:
\Omega \rightarrow \Omega$ is a minimal homeomorphism and $D, V: \Omega
\rightarrow M(l, \mathbb{R})$ are continuous maps with $D(\omega)$ invertible
for each $\omega\in\Omega$. Namely, we show that for each $\omega\in\Omega$,
  \[\rho(H_{\omega})=\{z \in \mathbb{C}\mid (T, A_z)\;\mathrm{is\; uniformly\;
hyperbolic}\}, \] where $\rho(H_{\omega})$ is the resolvent set of $H_\omega$
and $(T, A_z)$ is the $SL(2l,\mathbb{C})$-cocycle induced by the eigenvalue
equation $[H_\omega u]_n=zu_n$ at $z\in\mathbb{C}$.
