mesel - 1 year ago 101
Python Question

# How to find characteristic polynomial of matrices by python?

Let $A$ be a $n\times n$ matrice. I want to calculate characteristic polynomial of $A$ i.e. I want to calculate
$$det(xI-A)$$.

Is there any function which find this in python ?

It sounds like you are interested in a symbolic solution? The characteristic polynomial doesn't make much sense numerically, where you would probably be more interested in the eigenvalues. To obtain the characteristic polynomial of a symbolic matrix M in SymPy you want to use the M.charpoly method.
If you want to find the eigenvalues of a numpy array, numpy.linalg.eigvals (or numpy.linalg.eigvalsh if you have a Hermitian matrix) is what you want.