Consider a noninvertible 2x2 matrix A with two distinct eigenvalues. (Note that one of
Chapter 9, Problem 41(choose chapter or problem)
Consider a noninvertible 2x2 matrix A with two distinct eigenvalues. (Note that one of the eigenvalues must be 0.) Choose two eigenvectors ui and V 2 with eigenvalues k\ = 0 and A .2 as shown in the accompanying figure. Suppose A-2 is negative. Sketch a phase portrait for the system dx/dt = Ax> clearly indicating the shape and long-term behavior of the trajectories.
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