Documents/Lineáris Algebra és Geometria/Document.tex

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\begin{document}

\begin{frame}[plain]
\begin{tcolorbox}[center, colback={myyellow}, coltext={black}, colframe={myyellow}]
    {\Huge Lineáris Algebra és Geometria}\\
\mbigskip
\\
A kisbetűs szövegek (LaTeX-ben tiny), (Ha nincs előttük (S) jelzés, akkor lemaradt)\\
a saját értelmezést jelentik, és egyáltalán nem garantált hogy jók!
\end{tcolorbox}
\end{frame}


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

% --------------------  HALMAZOK, RELÁCIÓK --------------------

\begin{frame}[plain]
\begin{tcolorbox}[center, colback={myyellow}, coltext={black}, colframe={myyellow}]
    {\Huge Vektorterek, Leképzések}
    \mmedskip
\end{tcolorbox}
\end{frame}

\begin{frame}
  \begin{tcolorbox}[title={Def.: Linearitás}]
    $f$ leképzés lineáris, ha:\\
    \begin{itemize}
      \item $f(a + b) = f(a) + f(b)$
      \item ${\lambda}f(a) = f({\lambda}b)$
    \end{itemize}
  \end{tcolorbox}


  \begin{tcolorbox}[title={Def.: Vektorok}]
  $\u{a} = (a_1, a_2), \u{b} = (b_1, b_2)$\\
  \mmedskip
  
    Összeadás: $\u{a + b} = (a_1 + b_1, a_2 + b_2)$\\
    Nagyítás: ${\lambda}a = (a_1, a_2) \lor {\lambda}\u{a} = ({\lambda}a_1, {\lambda}a_2)$
  \end{tcolorbox}
  
    \begin{tcolorbox}[title={Def.: Összeadás}]
    $f$ leképzés lineáris, ha:\\
    \begin{itemize}
      \item $f(a + b) = f(a) + f(b)$
      \item ${\lambda}f(a) = f({\lambda}b)$
    \end{itemize}
  \end{tcolorbox}

\end{frame}


\end{document}