started working on eigenvalue

script.tex

@@ -19,6 +19,11 @@
     linkcolor=black,
     urlcolor=black
 }
+\usepackage[
+    type={CC},
+    modifier={by-sa},
+    version={4.0},
+]{doclicense}
 
 \usepackage{subfiles}
 
@@ -51,7 +56,7 @@
 \newcommand{\rcseqdef}[1]{\seq{#1} \subset \realn \text{ (or } \cmpln \text{)}}
 \newcommand{\series}[2][\infty]{\sum_{#2 = 1}^{#1}}
 \newcommand{\finite}{\text{ finite}}
-\newcommand{\conj}[1]{#1^{\ast}}
+\newcommand{\conj}[1]{\overline{#1}}
 
 \newcommand{\conv}[1]{\xrightarrow{\makebox[2em][c]{$\scriptstyle#1$}}}
 \newcommand{\convinf}{\conv{n \rightarrow \infty}}
@@ -69,6 +74,7 @@
 			{\,\middle|\, #1}%
 	\right\}%
 }
+\renewcommand{\innerproduct}[2]{\langle#1,#2\rangle}
 
 \newcommand{\equalexpl}[1]{%
   \underset{\substack{\big\uparrow\\\mathrlap{\text{\hspace{-1.5em}#1}}}}{=}}
@@ -102,12 +108,6 @@
 \Crefname{cor}{Corollary}{Corollaries}
 \crefname{cor}{Cor.}{Cors.}
 
-\usepackage[
-    type={CC},
-    modifier={by-sa},
-    version={4.0},
-]{doclicense}
-
 \begin{document}
 \title{Mathematics for Physicists}
 \author{https://www.github.com/Lauchmelder23/Mathematics}