(a) compute the eigenvalues;
(b) for each eigenvalue, compute the associated eigenvectors;
(c) using HPGSystemSolver, sketch the direction field for the system, and plot the straight-line solutions;
(d) for each eigenvalue, specify a corresponding straight-line solution and plot its x(t)- and y(t)-graphs; and
(e) if the system has two distinct eigenvalues, compute the general solution.
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