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Please help if you can pic attatched

Please help if you can pic attatched-example-1
User Antho
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5 votes

Answer:

Explanation:


CI=\left[\begin{array}{ccc}1&6&0\\0&1&2\\1&-1&3\end{array}\right] \left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]

Subtract row 3 from row 1:


\left[\begin{array}{ccc}1&6&0\\0&1&2\\0&7&-3\end{array}\right] \left[\begin{array}{ccc}1&0&0\\0&1&0\\1&0&-1\end{array}\right]

Subtract row 3 from 7 times row 2:


\left[\begin{array}{ccc}1&6&0\\0&1&2\\0&0&17\end{array}\right] \left[\begin{array}{ccc}1&0&0\\0&1&0\\-1&7&1\end{array}\right]

Divide row 3 by 17:


\left[\begin{array}{ccc}1&6&0\\0&1&2\\0&0&1\end{array}\right] \left[\begin{array}{ccc}1&0&0\\0&1&0\\(-1)/(17) &(7)/(17) &(1)/(17) \end{array}\right]

Subtract 2 of row 3 from row 2:


\left[\begin{array}{ccc}1&6&0\\0&1&0\\0&0&1\end{array}\right] \left[\begin{array}{ccc}1&0&0\\(2)/(17) &(3)/(17) &(-2)/(17) \\(-1)/(17) &(7)/(17) &(1)/(17) \end{array}\right]

Subtract 6 of row 2 from row 1:


\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] \left[\begin{array}{ccc}(5)/(17)&(-18)/(17)&(12)/(17)\\(2)/(17) &(3)/(17) &(-2)/(17) \\(-1)/(17) &(7)/(17) &(1)/(17) \end{array}\right]


C^(-1)=(1)/(17) \left[\begin{array}{ccc}5&-18&12\\2&3&-2\\-1&7&1\end{array}\right]


C^(-1)b=(1)/(17) \left[\begin{array}{ccc}5&-18&12\\2&3&-2\\-1&7&1\end{array}\right]\left[\begin{array}{c}10&1&3\end{array}\right]=\left[\begin{array}{c}4&1&0\end{array}\right]