eig is a Python function that utilises the numpy linalg package to compute the eigenvalues and eigenvectors of a matrix. It returns the eigenvalues and eigenvectors as one eigenvector per column of a matrix, as seen in the code below. The vector w contains the eigenvalues of the matrix A, and the matrix V has one eigenvector for each column. A's determinant is equal to the product of its Eigenvalues, which are 2, 1, and 4, and A's trace is equal to the sum of those values.

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