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.
Transcribed Image Text:
А a b d C
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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