Soluções para a tarefa
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Bom dia Rosana!
Solução das matrizes.
![A=\left[\begin{array}{ccc}1&2&0\\1&1&0\\-1&4&0\end{array}\right]](https://tex.z-dn.net/?f=++A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B2%26amp%3B0%5C%5C1%26amp%3B1%26amp%3B0%5C%5C-1%26amp%3B4%26amp%3B0%5Cend%7Barray%7D%5Cright%5D+ "A=\left[\begin{array}{ccc}1&2&0\\1&1&0\\-1&4&0\end{array}\right]")
![C=\left[\begin{array}{ccc}1&2&3\\1&1&-1\\1&1&1\end{array}\right]](https://tex.z-dn.net/?f=++C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B2%26amp%3B3%5C%5C1%26amp%3B1%26amp%3B-1%5C%5C1%26amp%3B1%26amp%3B1%5Cend%7Barray%7D%5Cright%5D+ "C=\left[\begin{array}{ccc}1&2&3\\1&1&-1\\1&1&1\end{array}\right]")
![\left[\begin{array}{ccc}1&2&0\\1&1&0\\-1&4&0\end{array}\right] \times \left[\begin{array}{c}1&1&1\end{array}\right]= \left[\begin{array}{ccc}1.1+2.1+0.1\\1.1+1.1+0.1\\-1.1+4.1+0.4\end{array}\right] = \left[\begin{array}{c}3&2&3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B2%26amp%3B0%5C%5C1%26amp%3B1%26amp%3B0%5C%5C-1%26amp%3B4%26amp%3B0%5Cend%7Barray%7D%5Cright%5D+%5Ctimes+%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D1%26amp%3B1%26amp%3B1%5Cend%7Barray%7D%5Cright%5D%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1.1%2B2.1%2B0.1%5C%5C1.1%2B1.1%2B0.1%5C%5C-1.1%2B4.1%2B0.4%5Cend%7Barray%7D%5Cright%5D+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D3%26amp%3B2%26amp%3B3%5C%5C%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}1&2&0\\1&1&0\\-1&4&0\end{array}\right] \times \left[\begin{array}{c}1&1&1\end{array}\right]= \left[\begin{array}{ccc}1.1+2.1+0.1\\1.1+1.1+0.1\\-1.1+4.1+0.4\end{array}\right] = \left[\begin{array}{c}3&2&3\\\end{array}\right]")
![\left[\begin{array}{ccc}1&2&0\\1&1&0\\-1&4&0\end{array}\right] \times \left[\begin{array}{c}2&1&1\end{array}\right]= \left[\begin{array}{ccc}1.2+2.1+0.1\\1.2+1.1+0.1\\-1.2+4.1+0.1\end{array}\right] = \left[\begin{array}{c}4&3&2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B2%26amp%3B0%5C%5C1%26amp%3B1%26amp%3B0%5C%5C-1%26amp%3B4%26amp%3B0%5Cend%7Barray%7D%5Cright%5D+%5Ctimes+%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D2%26amp%3B1%26amp%3B1%5Cend%7Barray%7D%5Cright%5D%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1.2%2B2.1%2B0.1%5C%5C1.2%2B1.1%2B0.1%5C%5C-1.2%2B4.1%2B0.1%5Cend%7Barray%7D%5Cright%5D+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D4%26amp%3B3%26amp%3B2%5C%5C%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}1&2&0\\1&1&0\\-1&4&0\end{array}\right] \times \left[\begin{array}{c}2&1&1\end{array}\right]= \left[\begin{array}{ccc}1.2+2.1+0.1\\1.2+1.1+0.1\\-1.2+4.1+0.1\end{array}\right] = \left[\begin{array}{c}4&3&2\\\end{array}\right]")
![\left[\begin{array}{ccc}1&2&0\\1&1&0\\-1&4&0\end{array}\right] \times \left[\begin{array}{c}3&-1&1\end{array}\right]= \left[\begin{array}{ccc}1.3+2.-1+0.1\\1.3+1.-1+0.1\\-1.3+4.-1+0.1\end{array}\right] = \left[\begin{array}{c}1&2&-7\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B2%26amp%3B0%5C%5C1%26amp%3B1%26amp%3B0%5C%5C-1%26amp%3B4%26amp%3B0%5Cend%7Barray%7D%5Cright%5D+%5Ctimes+%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D3%26amp%3B-1%26amp%3B1%5Cend%7Barray%7D%5Cright%5D%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1.3%2B2.-1%2B0.1%5C%5C1.3%2B1.-1%2B0.1%5C%5C-1.3%2B4.-1%2B0.1%5Cend%7Barray%7D%5Cright%5D+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D1%26amp%3B2%26amp%3B-7%5C%5C%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}1&2&0\\1&1&0\\-1&4&0\end{array}\right] \times \left[\begin{array}{c}3&-1&1\end{array}\right]= \left[\begin{array}{ccc}1.3+2.-1+0.1\\1.3+1.-1+0.1\\-1.3+4.-1+0.1\end{array}\right] = \left[\begin{array}{c}1&2&-7\\\end{array}\right]")
![Resposta:A\times B= \left[\begin{array} {ccc}3&4&1\\2&3&2\\3&2&-7\end{array}\right]](https://tex.z-dn.net/?f=Resposta%3AA%5Ctimes+B%3D+%5Cleft%5B%5Cbegin%7Barray%7D+%7Bccc%7D3%26amp%3B4%26amp%3B1%5C%5C2%26amp%3B3%26amp%3B2%5C%5C3%26amp%3B2%26amp%3B-7%5Cend%7Barray%7D%5Cright%5D "Resposta:A\times B= \left[\begin{array} {ccc}3&4&1\\2&3&2\\3&2&-7\end{array}\right]")
2) N-P+M
![-1\times \left[\begin{array}{ccc}0&1&-1\\2&0&-1\\3&-2&0\end{array}\right] = \left[\begin{array}{ccc}0&-1&1\\-2&0&1\\-3&2&0\end{array}\right]](https://tex.z-dn.net/?f=-1%5Ctimes+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26amp%3B1%26amp%3B-1%5C%5C2%26amp%3B0%26amp%3B-1%5C%5C3%26amp%3B-2%26amp%3B0%5Cend%7Barray%7D%5Cright%5D+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26amp%3B-1%26amp%3B1%5C%5C-2%26amp%3B0%26amp%3B1%5C%5C-3%26amp%3B2%26amp%3B0%5Cend%7Barray%7D%5Cright%5D+ "-1\times \left[\begin{array}{ccc}0&1&-1\\2&0&-1\\3&-2&0\end{array}\right] = \left[\begin{array}{ccc}0&-1&1\\-2&0&1\\-3&2&0\end{array}\right]")
![\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] + \left[\begin{array}{ccc}0&1&-1\\2&0&-1\\3&-2&0\end{array}\right]+ \left[\begin{array}{ccc}1&2&3\\-1&0&-2\\4&-3&5\end{array}\right]=](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B0%26amp%3B0%5C%5C0%26amp%3B1%26amp%3B0%5C%5C0%26amp%3B0%26amp%3B1%5Cend%7Barray%7D%5Cright%5D+%2B++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26amp%3B1%26amp%3B-1%5C%5C2%26amp%3B0%26amp%3B-1%5C%5C3%26amp%3B-2%26amp%3B0%5Cend%7Barray%7D%5Cright%5D%2B++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B2%26amp%3B3%5C%5C-1%26amp%3B0%26amp%3B-2%5C%5C4%26amp%3B-3%26amp%3B5%5Cend%7Barray%7D%5Cright%5D%3D++ "\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] + \left[\begin{array}{ccc}0&1&-1\\2&0&-1\\3&-2&0\end{array}\right]+ \left[\begin{array}{ccc}1&2&3\\-1&0&-2\\4&-3&5\end{array}\right]=")
![\left[\begin{array}{ccc}2&3&2\\1&1&-3\\7&-5&6\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B3%26amp%3B2%5C%5C1%26amp%3B1%26amp%3B-3%5C%5C7%26amp%3B-5%26amp%3B6%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}2&3&2\\1&1&-3\\7&-5&6\end{array}\right]")
Resposta:C
3) N-2(M-P)
![P= 2\times \left[\begin{array}{ccc}0&-1&1\\-2&0&1\\-3&2&0\end{array}\right] = \left[\begin{array}{ccc}0&-2&2\\-4&0&2\\-6&4&0\end{array}\right]](https://tex.z-dn.net/?f=P%3D++2%5Ctimes++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26amp%3B-1%26amp%3B1%5C%5C-2%26amp%3B0%26amp%3B1%5C%5C-3%26amp%3B2%26amp%3B0%5Cend%7Barray%7D%5Cright%5D+%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26amp%3B-2%26amp%3B2%5C%5C-4%26amp%3B0%26amp%3B2%5C%5C-6%26amp%3B4%26amp%3B0%5Cend%7Barray%7D%5Cright%5D+ "P= 2\times \left[\begin{array}{ccc}0&-1&1\\-2&0&1\\-3&2&0\end{array}\right] = \left[\begin{array}{ccc}0&-2&2\\-4&0&2\\-6&4&0\end{array}\right]")
![M=-2\times \left[\begin{array}{ccc}1&2&3\\-1&0&-2\\4&-3&5\end{array}\right]= \left[\begin{array}{ccc}-2&-4&-6\\2&0&4\\-8&6&-10\end{array}\right]](https://tex.z-dn.net/?f=M%3D-2%5Ctimes++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B2%26amp%3B3%5C%5C-1%26amp%3B0%26amp%3B-2%5C%5C4%26amp%3B-3%26amp%3B5%5Cend%7Barray%7D%5Cright%5D%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%26amp%3B-4%26amp%3B-6%5C%5C2%26amp%3B0%26amp%3B4%5C%5C-8%26amp%3B6%26amp%3B-10%5Cend%7Barray%7D%5Cright%5D++ "M=-2\times \left[\begin{array}{ccc}1&2&3\\-1&0&-2\\4&-3&5\end{array}\right]= \left[\begin{array}{ccc}-2&-4&-6\\2&0&4\\-8&6&-10\end{array}\right]")
![\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]+ \left[\begin{array}{ccc}-2&-4&-6\\2&0&4\\-8&6&-10\end{array}\right] + \left[\begin{array}{ccc}0&-2&2\\-4&0&2\\-6&4&0\end{array}\right] =](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B0%26amp%3B0%5C%5C0%26amp%3B1%26amp%3B0%5C%5C0%26amp%3B0%26amp%3B1%5Cend%7Barray%7D%5Cright%5D%2B++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%26amp%3B-4%26amp%3B-6%5C%5C2%26amp%3B0%26amp%3B4%5C%5C-8%26amp%3B6%26amp%3B-10%5Cend%7Barray%7D%5Cright%5D+%2B++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26amp%3B-2%26amp%3B2%5C%5C-4%26amp%3B0%26amp%3B2%5C%5C-6%26amp%3B4%26amp%3B0%5Cend%7Barray%7D%5Cright%5D+%3D+ "\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]+ \left[\begin{array}{ccc}-2&-4&-6\\2&0&4\\-8&6&-10\end{array}\right] + \left[\begin{array}{ccc}0&-2&2\\-4&0&2\\-6&4&0\end{array}\right] =")
![\left[\begin{array}{ccc}-1&-6&-4\\-2&1&6\\-14&10&-9\end{array}\right]](https://tex.z-dn.net/?f=++++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%26amp%3B-6%26amp%3B-4%5C%5C-2%26amp%3B1%26amp%3B6%5C%5C-14%26amp%3B10%26amp%3B-9%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}-1&-6&-4\\-2&1&6\\-14&10&-9\end{array}\right]")
Resposta B
Bom dia!
Bons estudos!
Solução das matrizes.
2) N-P+M
Resposta:C
3) N-2(M-P)
Resposta B
Bom dia!
Bons estudos!
Rosana2014:
Bom Dia, João! Obrigada pela ajuda. :)
Obrigado pela melhor resposta.Valeu
Dê nada. :)
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