hi, can some one give me any hints how to solve this problem? thank you(adsbygoogle = window.adsbygoogle || []).push({});

i tried to type it here but it dint come up so i uploaded http://tinypic.com/view.php?pic=2hgtqoz&s=3" with the problem.

Thank you so much

Recall that for an nxn matrix A with distinct eigenvalues [tex]\lambda[/tex] [tex]_{F}[/ktex], k=1,2,...,n

e^{At} = \sum^{n}_{k=1} Z_{k}e^{\lambda_{k}t}

By taking the Laplace Transform of both sides (or otherwise) show that

\sum^{n}_{k=1}Z_{k}= I_{n}

Where I_{n} is the nxn identity matrix

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# Eigenvalues and Laplace

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