Odpowiedź:
[tex]\left[\begin{array}{cc}-6&-1\\-1&-5\\11&2\end{array}\right][/tex]
Szczegółowe wyjaśnienie:
Działanie:
[tex]\left[\begin{array}{cc}2&-1\\1&0\\-1&3\end{array}\right]*\left[\begin{array}{cc}1&-1\\4&1\end{array}\right]-2\left[\begin{array}{cc}2&-1\\1&2\\0&1\end{array}\right][/tex]
Na początku wykonajmy operacje mnożenia:
[tex]\left[\begin{array}{cc}2&-1\\1&0\\-1&3\end{array}\right] *\left[\begin{array}{cc}1&-1\\4&1\end{array}\right]=\left[\begin{array}{cc}2*1+(-1)*4&2*(-1)+(-1)*1\\1*1+0*4&1*(-1)+0*1\\(-1)*1+3*4&(-1)*(-1)+3*1\end{array}\right]=\left[\begin{array}{cc}-2&-3\\1&-1\\11&4\end{array}\right][/tex]--------------------------------------------------------------------------------------------------------------
[tex]2\left[\begin{array}{cc}2&-1\\1&2\\0&1\end{array}\right]=\left[\begin{array}{cc}4&-2\\2&4\\0&2\end{array}\right][/tex]
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Zatem działanie wygląda tak:
[tex]\left[\begin{array}{cc}-2&-3\\1&-1\\11&4\end{array}\right]-\left[\begin{array}{cc}4&-2\\2&4\\0&2\end{array}\right]=\left[\begin{array}{cc}-6&-1\\-1&-5\\11&2\end{array}\right][/tex]
