Solve the practice question by Python we have learned for this chapter:

-5 1 1 2 1 4 1 1 4. Consider the matrix A = Since AT = A, A must have all real 1 1 -4 1 2 1 1 5 eigenvalues by the Spectral Theorem. Use the strong version of Gershgorin's Circle Theorem to determine how many of the eigenvalues of A are positive and how many are negative. Use a sketch of the Gershgorin Circles in your explanation. Calculate the eigenvalues of A in Python using np.linalg.eig to check your answers. Attach a screenshot of your Python output showing the eigenvalues of A