In Problems 3133 A represents a 2 x 2 matrix. Show that the system x' = Ax
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In Problems 31–33 A represents a 2 x 2 matrix.
Show that the system x' = Ax has constant solutions other than x(t) Ξ 0 if and only if there exists a (constant) vector x ≠ 0 with Ax = 0. (It is shown in linear algebra that such a vector x exists exactly when det(A) = 0.)
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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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