# Characteristic Polynomial of Matrix

This tool calculates the characteristic polynomial of a matrix.

## Caracteristic Polynomial

Let M be a square matrix of size n-by-n. The characteristic polynomial of M is defined as,

`P(x) = det(M - x*I_n)`

- det(A) is the determinant of matrice A

- `I_n` is the identity matrix of size n-by-n

## See also

Matrix determinant

Matrix minimal polynomial

Linear algebra Calculators