Finished all chapters and definitions. I need to add subsections and see if there's any theorems or definitions in the appendicies that are worth adding to this as well.
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@@ -3,13 +3,13 @@
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\begin{definition}
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\hfill\\
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Let $A$ be an $m \times n$ matrix. Any one of the following three operations on the rows [columns] of $A$ is called an \textbf{elementary row [column] operation}:
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\begin{enumerate}
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\item interchanging any two rows [columns] of $A$;
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\item multiplying any row [column] of $A$ by a nonzero scalar;
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\item adding any scalar multiple of a row [column] of $A$ to another row [column].
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\end{enumerate}
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Any of these three operations are called an \textbf{elementary operation}. Elementary operations are of \textbf{type 1}, \textbf{type 2}, or \textbf{type 3} depending on whether they are obtained by (1), (2), or (3).
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\end{definition}
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@@ -26,4 +26,4 @@
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\begin{theorem}
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\hfill\\
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Elementary matrices are invertible, and the inverse of an elementary matrix is an elementary matrix of the same type.
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\end{theorem}
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\end{theorem}
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