Phase Portraits and Component Plots. In each of Problems 17 through 24, the eigenvalues and eigenvectors of a matrix A are given. Consider the corresponding system x' = Ax. Without using a computer, draw each of the following graphs:
(a) Sketch a phase portrait of the system.
(b) Sketch the trajectory passing through the initial point (2,3).
(c) For the trajectory in part (b), sketch the component plots of x1 versus t and of x2 versus t on the same set of axes.
λ1=−1, v1=(−12);
λ2=2, v2=(12)

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