(a) Use (1) to find the general solution of Use a CAS to find e At ....

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(a) Use (1) to find the general solution of

4 2 X. 3 3, X' =

Use a CAS to find eAt. Then use the computer to find eigenvalues and eigenvectors of the coefficient matrix

and form the general solution in the manner of Section 8.2. Finally, reconcile the two forms of the general solution of the system.

(b) Use (1) to find the general solution of

Use a CAS to find eAt. 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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