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definition 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 $(1)$, ...