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95 lines
2.0 KiB
TeX
95 lines
2.0 KiB
TeX
\documentclass{article}
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\newcommand{\dir}{~/projects/latex}
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\input{\dir/include.tex}
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\load{recommended}
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\usepackage{tikz}
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\usepackage[T1]{fontenc}
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\usepackage{imakeidx}
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\makeindex
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\setup{Linear Algebra}
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\begin{document}
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\startDocument
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\usetcolorboxes
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\setcounter{section}{-1}
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\setcounter{numberingConfig}{3}
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\vspace{3cm}
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\begin{Huge}
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\[
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\begin{pmatrix}
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1 & 2 & 3\\
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4 & 5 & 6\\
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7 & 8 & 9
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\end{pmatrix} +
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\begin{pmatrix}
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9 & 8 & 7\\
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6 & 5 & 4\\
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3 & 2 & 1
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\end{pmatrix} =
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\begin{pmatrix}
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10 & 10 & 10\\
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10 & 10 & 10\\
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10 & 10 & 10
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\end{pmatrix}
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\]
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\end{Huge}
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\vspace{3cm}
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\begin{center}
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\begin{Large}
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``\textit{Lineare Algebra ist Kulturgut}''
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\end{Large}
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\hspace{3cm} - Robert Weissmantel, 2024
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\end{center}
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\vspace{3cm}
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\begin{center}
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HS2024, ETHZ\\[0.2cm]
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\begin{Large}
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Exam-Summary of the lecture notes
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\end{Large}\\[0.2cm]
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\url{https://ti.inf.ethz.ch/ew/courses/LA24/notes_part_I.pdf}
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and
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\url{https://ti.inf.ethz.ch/ew/courses/LA24/notes_part_II.pdf}
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\end{center}
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\newpage
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\printtoc{Aquamarine}
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\newpage
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\newsection
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\section{Introduction}
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This summary is designed to provide the optimal balance between depth and broadness for the exam. To print this summary, print two pages per A4 paper (so A5 size), leaving out the first three pages (Title page, Table of Contents, Introduction)
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The introductory sections were kept as short as possible to allow for more space for the more difficult parts
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\newpage
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\input{parts/basics}
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\input{parts/solving-sle}
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\input{parts/subspaces}
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% Part II
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\input{parts/orthogonality}
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\input{parts/determinant}
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\input{parts/eigenvalues-vectors}
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\input{parts/svd}
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\hspace{1cm}
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\begin{center}
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\includegraphics[width=0.5\textwidth]{assets/meme.png}
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\begin{Large}
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Good Luck!
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\end{Large}
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\end{center}
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\input{parts/exercises}
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\end{document}
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