Added subsections when they appear, added all of the appendices, and finished the packet
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\end{enumerate}
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\end{theorem}
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\subsection*{An Interpretation of the Reduced Row Echelon Form}
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\addcontentsline{toc}{subsection}{An Interpretation of the Reduced Row Echelon Form}
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\begin{theorem}
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\hfill\\
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Let $A$ be an $m \times n$ matrix of rank $r$, where $r > 0$, and let $B$ be the reduced row echelon form of $A$. Then
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