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zm{%uV`dQ}6lXcy)AYGt#=uE9j*OH>s!b&hN4m+eK@_P}dKcP5zBiy{NY zI2d`=*XUsi;rsjjsKw&u{n~5$#Y?{^`R$}Qx#kCj%qy*gGI=Jp6sa_28F>W6??!}+ z0UT2(C$uB(yp<0r9^gNe)nL{nI)+j~Tp#UyNF?66kR>II4`P2$;BS#1+#vY^ z0hVY?>%wyMOzc6c=!Vl^PDuaFnnEQE9y}plE3WWDao8926)&pQJ|~vK13v=-ix5no z!7pG&y}>aRgD*V{rCGGJL7mTq?7_9%aSxw@KBV<5Iqs-j!~hJri>5YHLRj(#=^wC^ zB>5?V!a*W}wev6qnURf#9tlpo)Kh1Aa;XX0a3O;_HyZ z+1mTQlEdxc43m8S4m4!DhsB&qSK-t z&L{jDOwTRgN|^siFcih*e?c9nC5E&=A*=c44Y`RcYVd!**)Fa|&aNn)&SvIt+}zx3 NEN~PQ;))V*{}+VvFPH!T diff --git a/4-4.tex b/4-4.tex index 66c5a9a..a64868b 100644 --- a/4-4.tex +++ b/4-4.tex @@ -233,5 +233,29 @@ $\left(\begin{matrix} 0&0&0&-3 \end{matrix}\right)$ IV: $0=-3\Rightarrow\mathbb{L}=\{\}$ + +\item %e +\begin{tabular}{c} +-I zu II add\\ +-2I zu III add\\ +-I zu IV add +\end{tabular} +$\left(\begin{matrix} +1&1&0&2&2\\ +0&0&2&-1&-2\\ +0&0&2&-1&-2\\ +0&0&4&-2&-4 +\end{matrix}\right)$ + +Da $2II=2III=IV$ alle die gleichen Aussagen sind, brauchen wir nur II zu behalten und können das 2x4-LGS lösen. + +\begin{align} +II:&&2x_3-x_4&=-2&&|x_3=q\\ +&&x_4&=2q+2\\ +I:&& +x_1+x_2+2q+2&=2&&|x_2=p\\ +&&x_1&=-2q-p&\Rightarrow&\mathbb{L}=\{(-2q-p,p,q,2q+2)\} +\end{align} + \end{enumerate} \end{document} \ No newline at end of file