Wrote out chapters 2-4

2024-02-20 16:06:34 -07:00
parent 33101973d4
commit 85f421fca3
22 changed files with 1440 additions and 14 deletions
@@ -60,7 +60,7 @@
 	for $1 \leq i \leq m$ and $1 \leq j \leq n$.
 \end{definition}

-\begin{definition}
+\begin{definition}\label{Definition 1.7}
 	\hfill\\
 	Let $S$ be any nonempty set and $\F$ be any field, and let $\mathcal{F}(S, \F)$ denote the set of all functions from $S$ to $\F$. Two functions $f$ and $g$ in $\mathcal{F}(S, \F)$ are called \textbf{equal} if $f(s) = g(s)$ for each $s \in S$. The set $\mathcal{F}(S, \F)$ is a vector space with the operations of addition and scalar multiplication defined for $f,g \in \mathcal{F}(S, \F)$ and $c \in \F$ defined by