random_matrix_eigenvalues, a Python code which demonstrates how, for certain probability density functions (PDF), a symmetric matrix with entries sampled from that PDF will have eigenvalues distributed according to Wigner's semicircle distribution.
The computer code and data files described and made available on this web page are distributed under the MIT license
random_matrix_eigenvalues is available in a Python version.
test_mat, a Python code which defines test matrices for which the condition, determinant, eigenvalues, inverse, null vectors, P*L*U factorization or linear system solution are already known, including the Vandermonde and Wathen matrix.