Let A denote the 2 x 2 matrix (a) Show that the characteristic equation of A (Eq.

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Let A denote the 2 x 2 matrix

(a) Show that the characteristic equation of A (Eq. (3), Section 6.1) is given by

(b) Suppose that the eigenvalues of A are pure imaginary. Show that the trace T (A) = a +d of A must be zero and that the determinant D(A) = ad - bc must be positive. Conclude that c ≠ 0.

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Differential Equations And Linear Algebra

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Let A denote the 2 x 2 matrix (a) Show that the characteristic equation of A (Eq.

Question:

А a b d C

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a Finding the characteristic equation The characteristic equation of a 2x2 matrix A is given by A I ...View the full answer

Differential Equations And Linear Algebra

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