Let A be an nxn matrix and k a scalar. Consider the following two systems:dtdc dt= (A +

Chapter 9, Problem 24

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Let A be an nxn matrix and k a scalar. Consider the following two systems:dtdc dt= (A + kln)c.(I)(U)Show that if 5(f) is a solution of system (I), then c(t) = ektx(t) is a solution of system (II).

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