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Sei que devia começar calculando a letra A, mas para encurtar, já vamos calcular parte da letra C, que pede pela matriz transposta das matrizes A e B.
![A^t = \left[\begin{array}{ccc}2&1&0\\4&5&7\end{array}\right] \\\\\\\\ B^t = \left[\begin{array}{ccc}3&-1&9\\-2&6&8\end{array}\right]](https://tex.z-dn.net/?f=A%5Et+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B1%26amp%3B0%5C%5C4%26amp%3B5%26amp%3B7%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C%5C%5C+B%5Et+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B-1%26amp%3B9%5C%5C-2%26amp%3B6%26amp%3B8%5Cend%7Barray%7D%5Cright%5D+ "A^t = \left[\begin{array}{ccc}2&1&0\\4&5&7\end{array}\right] \\\\\\\\ B^t = \left[\begin{array}{ccc}3&-1&9\\-2&6&8\end{array}\right]")
Agora que já arrumamos isso, vamos começar.
![a) \\\\ 3 \cdot \left[\begin{array}{ccc}2&4\\1&5\\0&7\end{array}\right] + \left[\begin{array}{ccc}3&-2\\-1&6\\9&8\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}6&12\\3&15\\0&21\end{array}\right] + \left[\begin{array}{ccc}3&-2\\-1&6\\9&8\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}6+3&12-2\\3-1&15+6\\0+9&21+8\end{array}\right] \\\\\\\\ {\left[\begin{array}{ccc}9&10\\2&21\\9&29\end{array}\right]](https://tex.z-dn.net/?f=a%29+%5C%5C%5C%5C+3+%5Ccdot+++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B4%5C%5C1%26amp%3B5%5C%5C0%26amp%3B7%5Cend%7Barray%7D%5Cright%5D++%2B+++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B-2%5C%5C-1%26amp%3B6%5C%5C9%26amp%3B8%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C%5C%5C+++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%26amp%3B12%5C%5C3%26amp%3B15%5C%5C0%26amp%3B21%5Cend%7Barray%7D%5Cright%5D++%2B+++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B-2%5C%5C-1%26amp%3B6%5C%5C9%26amp%3B8%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C%5C%5C+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%2B3%26amp%3B12-2%5C%5C3-1%26amp%3B15%2B6%5C%5C0%2B9%26amp%3B21%2B8%5Cend%7Barray%7D%5Cright%5D++%5C%5C%5C%5C%5C%5C%5C%5C+%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%26amp%3B10%5C%5C2%26amp%3B21%5C%5C9%26amp%3B29%5Cend%7Barray%7D%5Cright%5D "a) \\\\ 3 \cdot \left[\begin{array}{ccc}2&4\\1&5\\0&7\end{array}\right] + \left[\begin{array}{ccc}3&-2\\-1&6\\9&8\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}6&12\\3&15\\0&21\end{array}\right] + \left[\begin{array}{ccc}3&-2\\-1&6\\9&8\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}6+3&12-2\\3-1&15+6\\0+9&21+8\end{array}\right] \\\\\\\\ {\left[\begin{array}{ccc}9&10\\2&21\\9&29\end{array}\right]")
![b) \\\\ \left[\begin{array}{ccc}2&4\\1&5\\0&7\end{array}\right] - 3 \cdot \left[\begin{array}{ccc}3&-2\\-1&6\\9&8\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}2&4\\1&5\\0&7\end{array}\right] - \left[\begin{array}{ccc}9&-6\\-3&18\\27&24\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}2-9&4+6\\1+3&5-18\\0-27&7-24\end{array}\right] \\\\\\\\ {\left[\begin{array}{ccc}-7&10\\4&-13\\-27&-17\end{array}\right]](https://tex.z-dn.net/?f=b%29+%5C%5C%5C%5C+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B4%5C%5C1%26amp%3B5%5C%5C0%26amp%3B7%5Cend%7Barray%7D%5Cright%5D+-+3+%5Ccdot+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B-2%5C%5C-1%26amp%3B6%5C%5C9%26amp%3B8%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C%5C%5C+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B4%5C%5C1%26amp%3B5%5C%5C0%26amp%3B7%5Cend%7Barray%7D%5Cright%5D+-+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%26amp%3B-6%5C%5C-3%26amp%3B18%5C%5C27%26amp%3B24%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C%5C%5C+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2-9%26amp%3B4%2B6%5C%5C1%2B3%26amp%3B5-18%5C%5C0-27%26amp%3B7-24%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C%5C%5C+%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-7%26amp%3B10%5C%5C4%26amp%3B-13%5C%5C-27%26amp%3B-17%5Cend%7Barray%7D%5Cright%5D "b) \\\\ \left[\begin{array}{ccc}2&4\\1&5\\0&7\end{array}\right] - 3 \cdot \left[\begin{array}{ccc}3&-2\\-1&6\\9&8\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}2&4\\1&5\\0&7\end{array}\right] - \left[\begin{array}{ccc}9&-6\\-3&18\\27&24\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}2-9&4+6\\1+3&5-18\\0-27&7-24\end{array}\right] \\\\\\\\ {\left[\begin{array}{ccc}-7&10\\4&-13\\-27&-17\end{array}\right]")
![c) \\\\ 2 \cdot \left[\begin{array}{ccc}2&1&0\\4&5&7\end{array}\right] + 3 \cdot \left[\begin{array}{ccc}3&-1&9\\-2&6&8\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}4&2&0\\8&10&14\end{array}\right] + \left[\begin{array}{ccc}9&-3&27\\-6&18&24\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}4+9&2-3&0+27\\8-6&10+18&14+24\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}13&-1&27\\2&28&38\end{array}\right]](https://tex.z-dn.net/?f=c%29+%5C%5C%5C%5C+2+%5Ccdot+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B1%26amp%3B0%5C%5C4%26amp%3B5%26amp%3B7%5Cend%7Barray%7D%5Cright%5D+%2B+3+%5Ccdot+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B-1%26amp%3B9%5C%5C-2%26amp%3B6%26amp%3B8%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C%5C%5C+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26amp%3B2%26amp%3B0%5C%5C8%26amp%3B10%26amp%3B14%5Cend%7Barray%7D%5Cright%5D+%2B+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%26amp%3B-3%26amp%3B27%5C%5C-6%26amp%3B18%26amp%3B24%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C%5C%5C+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%2B9%26amp%3B2-3%26amp%3B0%2B27%5C%5C8-6%26amp%3B10%2B18%26amp%3B14%2B24%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C%5C%5C++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D13%26amp%3B-1%26amp%3B27%5C%5C2%26amp%3B28%26amp%3B38%5Cend%7Barray%7D%5Cright%5D "c) \\\\ 2 \cdot \left[\begin{array}{ccc}2&1&0\\4&5&7\end{array}\right] + 3 \cdot \left[\begin{array}{ccc}3&-1&9\\-2&6&8\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}4&2&0\\8&10&14\end{array}\right] + \left[\begin{array}{ccc}9&-3&27\\-6&18&24\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}4+9&2-3&0+27\\8-6&10+18&14+24\end{array}\right] \\\\\\\\ \left[\begin{array}{ccc}13&-1&27\\2&28&38\end{array}\right]")
Espero ter ajudado!
Agora que já arrumamos isso, vamos começar.
Espero ter ajudado!
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