rgodic</code>. Even
if <code>Rage</code> functions do not fail due to these issues, the fact
that they can indicate biologically unreasonable life cycles may mean
that users nevertheless wish to exclude reducible, non-ergodic matrices
from their analyses.</p>
</div>
<div class="section level3">
<h3 id="singularity-of-the-u-matrix">Singularity of the U matrix<a class="anchor" aria-label="anchor" href="#singularity-of-the-u-matrix"></a>
</h3>
<p>Matrices are said to be singular if they cannot be inverted.
Inv