- #1
soulflyfgm
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hi, can some one give me any hints how to solve this problem? thank you
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
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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