# Answer to Question #15955 in Linear Algebra for james p

Question #15955

The Routh Hurwitz criterion tells us that the eigenvalues of a 2x2 matrix A

with real entries have negative real parts if the determinant of A is positive and the

trace of A (the sum of the entries on the main diagonal) is negative. Prove this.

with real entries have negative real parts if the determinant of A is positive and the

trace of A (the sum of the entries on the main diagonal) is negative. Prove this.

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