(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[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]

2. Relevant equations

Could someone solve this for me?

3. 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

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# Exponential matrix problem and Putzer's formula

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