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Loser66
 one year ago
1)Compute \(e^{At}\) where \(A=\left[\begin{matrix}a&o\\b&c\end{matrix}\right]\)
2) Find the eigenvalues and eigenvectors of \(e^{A}\)
Please, help
Loser66
 one year ago
1)Compute \(e^{At}\) where \(A=\left[\begin{matrix}a&o\\b&c\end{matrix}\right]\) 2) Find the eigenvalues and eigenvectors of \(e^{A}\) Please, help

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zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0I forget this stuff. Do you need to diagonalize A first?

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0I am looking at my Discreet notes, now. Actually, it is from DE

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0hey barbecue, any idea??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I forget do i find reduced row echelon form for 1?

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0eigenvalues of A are a and c

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i don't know what I'm doing lol

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0eigenvectors are \(\left(\begin{matrix}ac\\b\end{matrix}\right)\) and \(\left(\begin{matrix}0\\1\end{matrix}\right)\) Not sure about the second one, someone checks, please

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0Assume they are correct, then Diagonalization of A , namely \(D=\left[\begin{matrix}a&0\\0&c\end{matrix}\right]\) We get \(e^{At }= P*\left[\begin{matrix}e^{at}&0\\0&e^{ct}\end{matrix}\right]*P^{1}\)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0But I need confirm the eigenvalues before going further. @dan815 contribute, please

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0Then, we just do matrix multiplication to get the answer. ha!! but this knowledge is from Discreet, not from DE.
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