dadas as matrizes A. B é C determine a matriz D resultante da operação A+B-C.
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Olá, tudo bem? As operações de adição e subtração entre matrizes são efetuadas elemento a elemento, obedecendo rigorosamente a posição de cada um, e é assim que vamos proceder:
![\left[\begin{array}{rrr} 1 & 2 & 3\\-4 & 5 & 6\\ 4 & 6 & 8\end{array}\right]+\left[\begin{array}{rrr} -7 & -8 & 9\\ 12 & 6 & 5\\ 8 & 7 & 4\end{array}\right]-\left[\begin{array}{rrr} 2 & 3 & -4\\6 & 7 & 1\\2 & 8 & 7\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Brrr%7D+1+%26amp%3B+2+%26amp%3B+3%5C%5C-4+%26amp%3B+5+%26amp%3B+6%5C%5C+4+%26amp%3B+6+%26amp%3B+8%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Brrr%7D+-7+%26amp%3B+-8+%26amp%3B+9%5C%5C+12+%26amp%3B+6+%26amp%3B+5%5C%5C+8+%26amp%3B+7+%26amp%3B+4%5Cend%7Barray%7D%5Cright%5D-%5Cleft%5B%5Cbegin%7Barray%7D%7Brrr%7D+2+%26amp%3B+3+%26amp%3B+-4%5C%5C6+%26amp%3B+7+%26amp%3B+1%5C%5C2+%26amp%3B+8+%26amp%3B+7%5Cend%7Barray%7D%5Cright%5D%3D "\left[\begin{array}{rrr} 1 & 2 & 3\\-4 & 5 & 6\\ 4 & 6 & 8\end{array}\right]+\left[\begin{array}{rrr} -7 & -8 & 9\\ 12 & 6 & 5\\ 8 & 7 & 4\end{array}\right]-\left[\begin{array}{rrr} 2 & 3 & -4\\6 & 7 & 1\\2 & 8 & 7\end{array}\right]=")
![\left[\begin{array}{rrr}1-7-2 & 2-8-3 & 3+9+4\\-4+12-6 & 5+6-7 & 6+5-1\\4+8-2 & 6+7-8 & 8+4-7\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Brrr%7D1-7-2+%26amp%3B+2-8-3+%26amp%3B+3%2B9%2B4%5C%5C-4%2B12-6+%26amp%3B+5%2B6-7+%26amp%3B+6%2B5-1%5C%5C4%2B8-2+%26amp%3B+6%2B7-8+%26amp%3B+8%2B4-7%5Cend%7Barray%7D%5Cright%5D%3D "\left[\begin{array}{rrr}1-7-2 & 2-8-3 & 3+9+4\\-4+12-6 & 5+6-7 & 6+5-1\\4+8-2 & 6+7-8 & 8+4-7\end{array}\right]=")
![D=\left[\begin{array}{rrr}-8 & -9 & 16\\ 2 & 4 & 10\\ 10 & 5 & 5\end{array}\right]\,\,\text{(resposta final)}](https://tex.z-dn.net/?f=D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Brrr%7D-8+%26amp%3B+-9+%26amp%3B+16%5C%5C+2+%26amp%3B+4+%26amp%3B+10%5C%5C+10+%26amp%3B+5+%26amp%3B+5%5Cend%7Barray%7D%5Cright%5D%5C%2C%5C%2C%5Ctext%7B%28resposta+final%29%7D "D=\left[\begin{array}{rrr}-8 & -9 & 16\\ 2 & 4 & 10\\ 10 & 5 & 5\end{array}\right]\,\,\text{(resposta final)}")
Qualquer dúvida, por favor, é só me comunicar, ok? Muito Agradecido!!
Qualquer dúvida, por favor, é só me comunicar, ok? Muito Agradecido!!
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