(a) Use (1) to fmd the general solution ofX' = G ) X. Use a CAS to find eA1. Then use
Chapter 10, Problem 27(choose chapter or problem)
(a) Use (1) to fmd the general solution ofX' = G ) X. Use a CAS to find eA1. Then use the computer to find eigenvalues and eigenvectors of the coefficient matrix A = (: ) and form the general solution in the manner of Section 10.2. Finally, reconcile the two forms of the general solution of the system. (b) Use(l)tofindthegeneralsolutionofX' = (- =)x. Use a CAS to find eA1 In the case of complex output, utilize the software to do the simplification; for example, in Mathematica, if m = MatrixExp[A t] has complex entries, then try the command Simplify[ComplexExpand[m]].
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