% Compile twice!
% With the current MiKTeX, you need to install the beamer, and the translator packages directly form the package manager!

% !TEX root = ./Headers/PrezA4Page.tex

% Uncomment these to get the presentation form
%\documentclass{beamer}
%\geometry{paperwidth=200mm,paperheight=200mm, top=0in, bottom=0.2in, left=0.2in, right=0.2in}

% Uncomment these, and comment the 2 lines above, to get a paper-type article
%\documentclass[10pt]{article}
%\usepackage{geometry}
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% Uncomment these, to put more than one slide / page into a generated page.
%\usepackage{pgfpages}
% Choose one
%\pgfpagesuselayout{2 on 1}[a4paper]
%\pgfpagesuselayout{4 on 1}[a4paper]
%\pgfpagesuselayout{8 on 1}[a4paper]

% Includes
\usepackage{tikz}
\usepackage{tkz-graph}
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\usepackage[T1]{fontenc}
\usepackage{amsfonts}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage{booktabs}
\usepackage{array}
\usepackage{arydshln}
\usepackage{enumerate}
\usepackage[many, poster]{tcolorbox}
\usepackage{pgf}
\usepackage[makeroom]{cancel}
\usepackage{verbatim}

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\usetheme{boxes}

% tikz settings for the flowchart(s)
\tikzstyle{decision} = [diamond, minimum width=3cm, minimum height=1cm, text centered, draw=black, fill=green!15]
\tikzstyle{tcolorbox} = [rectangle, draw, fill=blue!15, text width=20em, text centered, minimum height=1em]

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\begin{document}

\begin{frame}[plain]
\begin{tcolorbox}[center, colback={myyellow}, coltext={black}, colframe={myyellow}]
    {\RHuge Lineáris Algebra és Geometria}\\
\end{tcolorbox}
\end{frame}


%\begin{tcolorbox}[title={Def.: }]
%\end{tcolorbox}

% --------------------   Vektorok koordinátavektora  --------------------

\begin{frame}[plain]
\begin{tcolorbox}[center, colback={myyellow}, coltext={black}, colframe={myyellow}]
    {\RHuge  Vektorok koordinátavektora}
    \mmedskip
\end{tcolorbox}
\end{frame}

\begin{frame}
  \begin{tcolorbox}[title={Def.: Bázis}]
    A $\{b_1,b_2,b_3\}$ vektorhalmaz bázis a $V \leq  \mathbb{R}^n$ altérben. Határozzuk meg a $v = 2b_1 + 3b_2 - b_3$ vektor koordinátavektorát a $\{b_1, b_2, b_3\}$ bázisban. $[v]b1,b2,b3 =$
  \end{tcolorbox}

  \end{frame}













































	%Kiegészítések / Számolások
	\begin{comment}
	\begin{frame}
		\begin{tcolorbox}[title={Bázistranzformáció}]
			Kérdés: Hány dimenziós?\\

			 \begin{center}
			\begin{tabular}{ c|c c c c }
			 \hline
			  & a & b & c & d \\
			 ${e_1}$ & 3 & 9 & 1 & 5 \\
			 ${e_2}$ & 2 & 10 & 2 & 2 \\
			 ${e_3}$ & -1 & 1 & 1 & -3 \\
			 ${e_4}$ & 0 & -3 & -1 & 1 \\
			 ${e_5}$ & 1 & 2 & 0 & 2 \\
			 \hline
			\end{tabular}
			\end{center}
			\mmedskip

			asd
		\end{tcolorbox}
	\end{frame}
	\end{comment}
\end{document}