By calculating the eigenvalues (and if needed the eigenvectors) of the matrix A, determine the nature of the critical point (0,0) of z' = Az for the ollowing six 2 x 2 matrices A. Your choices here are; node (stable or unstable), saddle, spiral point (stable or unstable), center, degenerate node with one eigenvector (stable or unstable), and degenerate node with two eigenvectors (stable or unstable0. Find also the polar equations, and sketch the trajectories including the directions, for each of these systems 0 0 -7 0

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