Python code to calculate the eigenvalues and eigenvectors of a matrix from the numpy linalg library is eig. It returns the eigenvalues and the eigenvectors as one eigenvector per column of a matrix as shown in the code below. The vector w contains the eigenvalues of the matrix A and the matrix V has one eigenvector per column. Eigenvalues for the given matrix A are 2, 1 and 4 and we can see that determinant of A is equal to the product of these values and the trace of A to the sum.

 Python code to calculate the eigenvalues and eigenvectors of a matrix
from the numpy linalg library is eig. It returns the eigenvalues and the eigenvectors
as one eigenvector per column of a matrix as shown in the code below. The vector
w contains the eigenvalues of the matrix A and the matrix V has one eigenvector
per column. Eigenvalues for the given matrix A are 2, 1 and 4 and we can see that
determinant of A is equal to the product of these values and the trace of A to the
sum.