The matrix A = 0 10 0 1 00 0 1 00 1 0 11 0 has characteristic polynomial p() = (2 + 1)2

Chapter 9, Problem 11

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The matrix A = 0 10 0 1 00 0 1 00 1 0 11 0 has characteristic polynomial p() = (2 + 1)2. Determine two complex-valued solutions to x = Ax of the form x = eAtv, and hence, find four linearly independent real-valued solutions to the differential system.

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