Implement problem 5 and a bit more
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\section*{Problem 5}
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\subsection*{a)}
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\subsection*{a \& b)}
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\subsection*{b)}
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$n = m - 2$ since when solving for $\vec{v}$, we are finding the solutions for all the points that are in between the boundaries and not the boundaries themselves. $\vec{v}^*$ on the other hand includes the boundary points.
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