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hw6: done 1 2 4 5

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Claudio Maggioni (maggicl) 2020-05-27 17:28:49 +02:00
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@ -170,4 +170,15 @@ We now use Gaussian \textit{ellimination} to solve the system:
\qquad \qquad
\begin{bmatrix}a\\b\\c\\\end{bmatrix}=\begin{bmatrix}0\\-\frac15\\\frac35\\\end{bmatrix} \begin{bmatrix}a\\b\\c\\\end{bmatrix}=\begin{bmatrix}0\\-\frac15\\\frac35\\\end{bmatrix}
\] \]
\section*{Question 5}
\[\begin{bmatrix}1&0\\0&1\\-1&0\\0&-1\\1&0\\\end{bmatrix}\begin{bmatrix}a\\b\end{bmatrix}
= \begin{bmatrix}\frac32\\2\\-\frac12\\-2\\1\end{bmatrix}\]
\[\begin{bmatrix}1&0&-1&0&1\\0&1&0&-1&0\end{bmatrix}\begin{bmatrix}1&0\\0&1\\-1&0\\0&-1\\1&0\\\end{bmatrix}\begin{bmatrix}a\\b\end{bmatrix}
=
\begin{bmatrix}1&0&-1&0&1\\0&1&0&-1&0\end{bmatrix}\begin{bmatrix}\frac32\\2\\-\frac12\\-2\\1\end{bmatrix}\]
\[\begin{bmatrix}3&0\\0&2\end{bmatrix}\begin{bmatrix}a\\b\end{bmatrix} =
\begin{bmatrix}3\\2\end{bmatrix} \qquad \begin{bmatrix}a\\b\end{bmatrix} =
\begin{bmatrix}1\\1\end{bmatrix}\]
\end{document} \end{document}