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			\noindent{\large \textbf{Notation}}
			\begin{itemize}
			\item $\Poly{n}$ is the vector space of polynomials of degree less than or equal to $n$.
			\item For a matrix $A$, $a_{ij}$ denotes the entry of $A$ in row $i$ and column $j$.
			Similarly, for a vector $\vec x$, $x_i$ denotes the $i$-the coordinate of $\vec x$.
			\item $I_m$ denotes the $m\times m$ identity matrix.
			\end{itemize}


			\subsection*{First part: multiple choice questions}

			\noindent
			For each question, cross the box corresponding to the correct answer. Each question has \textbf{exactly one} correct answer.
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