Solved: In each of 17 through 19, the eigenvalues and eigenvectors of a matrix A are

QUESTION:

In each of 17 through 19, the eigenvalues and eigenvectors of a matrix A are given. Consider the corresponding system x = Ax. G a. Sketch a phase portrait of the system. G b. Sketch the trajectory passing through the initial point (2, 3). G c. For the trajectory in part b, sketch the graphs of x1 versus t and of x2 versus t.r1 = 1, (1) = _12 _; r2 = 2, (2) = _ 1 2 _ 2