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This document contains solutions to homework problems about linear dynamical systems and the matrix exponential. It provides: 1) The solution to a harmonic oscillator system in terms of its eigenvalues, resolvent, and state transition matrix. 2) A sketch of the vector field of a harmonic oscillator. 3) Verification that the state trajectories of a harmonic oscillator describe circular orbits. 4) Verification that for a harmonic oscillator, the velocity vector is orthogonal to the position vector.

Author

Joel M Ch

Language

EN