Solved: Answer 110 without referring back to the text. Fill in the blank or answer

Chapter 11, Problem 6

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Answer Problems 1-10 without referring back to the text. Fill in the blank or answer true/false.

If the Jacobian matrix \(\mathbf{A}=\mathbf{g}^{\prime}\left(\mathbf{X}_{1}\right)\) at a critical point of a plane autonomous system has positive trace and determinant, then the critical point \(\mathbf{X}_{1}\) is unstable.

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