# Stability AnalysisΒΆ

The stability of a biochemical system is determined by the eigenvalues of the Jacobian matrix. Given floating species and reactions, the Jacobian matrix is defined as follows:

where is the ith differential equation and the ith floating species. From RoadRunner it is easy to obtain the Jacobian matrix using :cpp:`rr::RoadRunner::getFullJacobian`

, i.e.:

```
Jac = rr.getFullJacobian()
```

which returns the Jacobian matrix in the variable Jac.

It is possible for full Jacobian to be singular. In these situations one should call the related method, `rr::RoadRunner::getReducedJacobian()`

.