(a) Show that the vector functions are linearly independent on the real line. (b) Why does it...

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(a) Show that the vector functions

image

are linearly independent on the real line.

(b) Why does it follow from Theorem 2 that there is no continuous matrix P(t) such that x1 and x2 are both solutions of x' = P(t)x?

image

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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