Question: (a) Show that U(t) satisfies the matrix differential equation if and only if U(t) = CetB, where C = U(0). (b) Show that if U(0)

(a) Show that U(t) satisfies the matrix differential equation if and only if U(t) = CetB, where C = U(0).
(b) Show that if U(0) is nonsingular, then U(t) also satisfies a matrix differential equation of the form Is A = B? Use Exercise 9.4.16.

U=UB U=AU

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