### Should I invert my matrix or not?

This entry is part 3 of 11 in the series Analog modelling

In almost all analog modeling algorithms, we solve a (non-)linear system they require at some point to solve $A x=y$, with given $A$ and $y$. Depending on the size of the matrix and its characteristics, computing an inverse can be costly and may incur numerical problems. Let’s tackle cost in this discussion.