- #1
kamenoss
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Homework Statement
[itex]e^{ \begin{bmatrix} \lambda_{1} & 0 \\ 1& \lambda_{2} \end{bmatrix}t } [/itex]=\begin{bmatrix} e^{\lambda_{1}t} & 0 \\
\frac{e^{\lambda_{2}t} - e^{\lambda_{1}t}}{ \lambda_{2} - \lambda_{1}} & e^{\lambda_{2}t}
\end{bmatrix}
with [itex]\lambda_{1}\neq \lambda_{2}[/itex]
Homework Equations
Could someone solve this for me?
The Attempt at a Solution
I am no good at maths... with basic knowledge of linear algebra.
It looks like [itex]\lambda_{1} , \lambda_{2}[/itex] are the eigenvalues of a matrix A that solves a differential system. All indications are pointing to Putzer's formula, but everything i have tried failed. Probably i am missing something...
Thanks in advance...
p.s.Sorry for my terrible English