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The owner of a firm used her own personal cash to buy office stationery for the business. Which account should be credited in the ledger?
When an owner introduces personal funds or assets into the business, it is treated as additional capital. The stationery account is debited (increase in expense), and the Capital account is credited (increase in owner's equity).
Who authored the famous political treatise 'The Republic'?
Plato's 'The Republic' explores justice and the concept of the Philosopher King.
The product of upper-triangular matrices $\begin{pmatrix}1&k\\0&1\end{pmatrix}$ gives $\begin{pmatrix}1&\sum k\\0&1\end{pmatrix}$.
$\sum_{k=1}^{n-1}k = \dfrac{(n-1)n}{2} = 78 \Rightarrow n(n-1)=156 \Rightarrow n=13$
The inverse of $\begin{pmatrix}1&n\\0&1\end{pmatrix} = \begin{pmatrix}1&13\\0&1\end{pmatrix}$ is $\begin{pmatrix}1&-13\\0&1\end{pmatrix}$.
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