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.

This commit is contained in:
2024-02-21 19:31:36 -07:00
parent 85f421fca3
commit 09c5be15d7
45 changed files with 2602 additions and 379 deletions
@@ -3,13 +3,13 @@
\begin{definition}
\hfill\\
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}:
\begin{enumerate}
\item interchanging any two rows [columns] of $A$;
\item multiplying any row [column] of $A$ by a nonzero scalar;
\item adding any scalar multiple of a row [column] of $A$ to another row [column].
\end{enumerate}
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).
\end{definition}
@@ -26,4 +26,4 @@
\begin{theorem}
\hfill\\
Elementary matrices are invertible, and the inverse of an elementary matrix is an elementary matrix of the same type.
\end{theorem}
\end{theorem}