  We observe that under certain conditions on the Lyapunov exponents a
semi-invertible cocycle is, indeed, invertible. As a consequence, if a
semi-invertible cocycle generated by a H\"{o}lder continuous map $A:M\to M(d,
\mathbb{R})$ over a hyperbolic map $f:M\to M$ satisfies a Liv\v{s}ic's type
condition, that is, if $A(f^{n-1}(p))\cdot\ldots \cdot A(f(p))A(p)=\text{Id}$
for every $p\in \text{Fix}(f^n)$ then the cocycle is invertible, meaning that
$A(x)\in GL(d,\mathbb{R})$ for every $x\in M$, and a Liv\v{s}ic's type theorem
is satisfied.
