In this problem we prove a part of Theorem 9.3.2 related
Chapter 9, Problem 12(choose chapter or problem)
In this problem we prove a part of Theorem 9.3.2 related to instability.(a) Show that if a11 + a22 > 0 and a11a22 a12a21 > 0, then the critical point (0, 0) of thelinear system (ii) is unstable.(b) The same result holds for the locally linear system (i). As in 10 and 11,construct a positive definite function V such that V (x, y) = x2 + y2 and hence is positivedefinite, and then invoke Theorem 9.6.2
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