Classify the critical point (0, 0) of the given linear system by computing the trace t

Chapter 11, Problem 13

(choose chapter or problem)

Classify the critical point (0, 0) of the given linear system by computing the trace \(\tau\) and determinant \(\Delta\).

(a) \(x^{\prime}=-3 x+4 y\)

     \(y^{\prime}=-5 x+3 y\)

(b) \(x^{\prime}=-3 x+2 y\)

     \(y^{\prime}=-2 x+y\)

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