Sejam as matrizes
F= ![\left[\begin{array}{ccc}-20&2&1\\1&-30&2\\0&1&-40\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-20%26amp%3B2%26amp%3B1%5C%5C1%26amp%3B-30%26amp%3B2%5C%5C0%26amp%3B1%26amp%3B-40%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}-20&2&1\\1&-30&2\\0&1&-40\end{array}\right]")
e G= ![\left[\begin{array}{ccc}2&-20&10\\-10&3&-20\\0&-10&4\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B-20%26amp%3B10%5C%5C-10%26amp%3B3%26amp%3B-20%5C%5C0%26amp%3B-10%26amp%3B4%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}2&-20&10\\-10&3&-20\\0&-10&4\end{array}\right]")
A operação (-2F + G) x (-3) resulta na matriz?
Soluções para a tarefa
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Vamos passo a passo
![-2F=\left[\begin{array}{ccc}40&-4&-2\\-2&60&-4\\0&-2&80\end{array}\right] \\ \\ \\ (-2F+G)x(-3) \\ \\ =-3x \left[\begin{array}{ccc}40+2&-4-20&-2+10\\-2-10&60+3&-4-20\\0+0&-2-10&80+4\end{array}\right] \\ \\ \\ =-3x \left[\begin{array}{ccc}42&-24&8\\-12&63&-24\\0&-12& 84\end{array}\right]](https://tex.z-dn.net/?f=++-2F%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D40%26amp%3B-4%26amp%3B-2%5C%5C-2%26amp%3B60%26amp%3B-4%5C%5C0%26amp%3B-2%26amp%3B80%5Cend%7Barray%7D%5Cright%5D++%5C%5C++%5C%5C++%5C%5C+%28-2F%2BG%29x%28-3%29+%5C%5C++%5C%5C+%3D-3x++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D40%2B2%26amp%3B-4-20%26amp%3B-2%2B10%5C%5C-2-10%26amp%3B60%2B3%26amp%3B-4-20%5C%5C0%2B0%26amp%3B-2-10%26amp%3B80%2B4%5Cend%7Barray%7D%5Cright%5D++%5C%5C+++%5C%5C+%5C%5C+%3D-3x++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D42%26amp%3B-24%26amp%3B8%5C%5C-12%26amp%3B63%26amp%3B-24%5C%5C0%26amp%3B-12%26amp%3B++84%5Cend%7Barray%7D%5Cright%5D+ "-2F=\left[\begin{array}{ccc}40&-4&-2\\-2&60&-4\\0&-2&80\end{array}\right] \\ \\ \\ (-2F+G)x(-3) \\ \\ =-3x \left[\begin{array}{ccc}40+2&-4-20&-2+10\\-2-10&60+3&-4-20\\0+0&-2-10&80+4\end{array}\right] \\ \\ \\ =-3x \left[\begin{array}{ccc}42&-24&8\\-12&63&-24\\0&-12& 84\end{array}\right]")
![= \left[\begin{array}{ccc}-126&72&-24\\36&-189&72\\0&-36&152\end{array}\right]](https://tex.z-dn.net/?f=%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-126%26amp%3B72%26amp%3B-24%5C%5C36%26amp%3B-189%26amp%3B72%5C%5C0%26amp%3B-36%26amp%3B152%5Cend%7Barray%7D%5Cright%5D+ "= \left[\begin{array}{ccc}-126&72&-24\\36&-189&72\\0&-36&152\end{array}\right]")
RESULTADO FINAL
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