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6:40 AM
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Q: Doubt in the defn of exponential operator.

gloomdefinition Let $A$ be an $n\times n$ matrix. Then for $t\in \mathbb R$, $$e^{At}=\sum_{k=0}^\infty \frac{A^kt^k}{k!}\tag{1}$$ But in this definition, What they are meaning by the term $A^kt^k$, If i give this matrix $$A=\begin{pmatrix}1&-1\\2&3\end{pmatrix}$$, what can we say about the $(1)$, ...

From FAQ about tags: Try to avoid creating new tags. Instead, check if there is some synonym that already has a popular tag. It's not easy to keep balance between too specific tags and not having enough tags, but it is always good to search first and to ask yourself, whether newly created tag is not too specific. (Of course, you can disagree with the removal of the tag you've created, and there is possibility for further discussion, if needed.) — Martin Sleziak 3 mins ago
In this particular case you have created two new tags exponential-operators and linearsystem. For the first, it is not clear what the tag is supposed to be for. In the second case, I don't really see how it is related to the question. You have not created tag-wikis for the new tags. (Which is a good practice, tag-creator should indicate what the tag is intended for.) Similar questions have been quite often tagged matrices+exponential-function (or using some similar tags). — Martin Sleziak 32 secs ago
The section i have chosen for this question deals with linear system of ode.. thats why i relates this... — gloom 4 mins ago
A reasonable tags for systems of ODEs are (not-surprisingly) ode+systems-of-equations. I don't think we have tags specifically for linear systems of odes, but I might be wrong. — Martin Sleziak 44 secs ago
oh.. thankyou for the calrifications... — gloom 26 secs ago
 
7:31 AM
I have also removed newly created from here.
 

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