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###### 8 5-15.61F(s) 2 Use 6 ! 1 4cos(3t) 2 tbe Laplace transform of the given function:

8 5-15.61 F(s) 2 Use 6 ! 1 4cos(3t) 2 tbe Laplace transform of the given function:

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Question 5. Let f(t) = ant"+.+at+ao be a polynomial and T : V _ V be a linear operator. Recall that f(T) V _V is the operator GnTn + + 01T + aolv_ Suppose that v is an eigenvector of T with eigenvalue A. Show that f(T)(v) = f(A)v....

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