Faddeev–LeVerrier algorithm

The Faddeev–LeVerrier algorithm is a mathematical procedure used to compute the characteristic polynomial of a square matrix and, from that, to derive important properties such as the eigenvalues and eigenvectors of the matrix. This algorithm is particularly useful in linear algebra and numerical analysis. ### Key Steps of the Algorithm: 1. **Initialization**: Start with a square matrix \( A \) of size \( n \times n \) and an identity matrix of the same size.