Me ajudem ????
Dados A= (-1 4 5) (0 2 7) (1 -1 2), B=(3 5 2) (-1 5 3) (4 2 2) e C=(2 7 2) (8 -1 -3) (-1 9 5), calcule a matriz X, tal que: A+B=X+C.
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Olá
![A= \left[\begin{array}{ccc}-1&4&5\\0&2&7\\1&-1&2\end{array}\right] ~~B= \left[\begin{array}{ccc}3&5&2\\-1&5&3\\4&2&2\end{array}\right] ~~~C= \left[\begin{array}{ccc}2&7&2\\8&-1&-3\\-1&9&5\end{array}\right] \\\\\\\\\text{Agora temos que resolver a equacao matricial}\\\\A+B=X+C\\\\\text{Isola o 'X'}\\\\\boxed{X=A+B-C}\\\\\\\text{Entao a matriz X, sera a soma da matriz A com a matriz B e }\\\text{subtraida da matriz C}](https://tex.z-dn.net/?f=A%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%26amp%3B4%26amp%3B5%5C%5C0%26amp%3B2%26amp%3B7%5C%5C1%26amp%3B-1%26amp%3B2%5Cend%7Barray%7D%5Cright%5D+%7E%7EB%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B5%26amp%3B2%5C%5C-1%26amp%3B5%26amp%3B3%5C%5C4%26amp%3B2%26amp%3B2%5Cend%7Barray%7D%5Cright%5D+%7E%7E%7EC%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B7%26amp%3B2%5C%5C8%26amp%3B-1%26amp%3B-3%5C%5C-1%26amp%3B9%26amp%3B5%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C%5C%5C%5Ctext%7BAgora+temos+que+resolver+a+equacao+matricial%7D%5C%5C%5C%5CA%2BB%3DX%2BC%5C%5C%5C%5C%5Ctext%7BIsola+o+%27X%27%7D%5C%5C%5C%5C%5Cboxed%7BX%3DA%2BB-C%7D%5C%5C%5C%5C%5C%5C%5Ctext%7BEntao+a+matriz+X%2C+sera+a+soma+da+matriz+A+com+a+matriz+B+e+%7D%5C%5C%5Ctext%7Bsubtraida+da+matriz+C%7D "A= \left[\begin{array}{ccc}-1&4&5\\0&2&7\\1&-1&2\end{array}\right] ~~B= \left[\begin{array}{ccc}3&5&2\\-1&5&3\\4&2&2\end{array}\right] ~~~C= \left[\begin{array}{ccc}2&7&2\\8&-1&-3\\-1&9&5\end{array}\right] \\\\\\\\\text{Agora temos que resolver a equacao matricial}\\\\A+B=X+C\\\\\text{Isola o 'X'}\\\\\boxed{X=A+B-C}\\\\\\\text{Entao a matriz X, sera a soma da matriz A com a matriz B e }\\\text{subtraida da matriz C}")
![\left[\begin{array}{ccc}-1&4&5\\0&2&7\\1&-1&2\end{array}\right] +\left[\begin{array}{ccc}3&5&2\\-1&5&3\\4&2&2\end{array}\right] - \left[\begin{array}{ccc}2&7&2\\8&-1&-3\\-1&9&5\end{array}\right] \\\\\\X= \left[\begin{array}{ccc}-1+3-2~~&~~4+5-7~ ~&5+2-2\\~0-1-8~~&~~2+5+1&7+3+3\\1+4+1&-1+2-9&2+2-5\end{array}\right] \\\\\\\\\boxed{X= \left[\begin{array}{ccc}0&2&5\\-9&8&13\\6&-8&-1\end{array}\right] }~~~~~~~~~~~~~~\longleftarrow\text{Resposta}](https://tex.z-dn.net/?f=+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%26amp%3B4%26amp%3B5%5C%5C0%26amp%3B2%26amp%3B7%5C%5C1%26amp%3B-1%26amp%3B2%5Cend%7Barray%7D%5Cright%5D+%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B5%26amp%3B2%5C%5C-1%26amp%3B5%26amp%3B3%5C%5C4%26amp%3B2%26amp%3B2%5Cend%7Barray%7D%5Cright%5D+-+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B7%26amp%3B2%5C%5C8%26amp%3B-1%26amp%3B-3%5C%5C-1%26amp%3B9%26amp%3B5%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5CX%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%2B3-2%7E%7E%26amp%3B%7E%7E4%2B5-7%7E+%7E%26amp%3B5%2B2-2%5C%5C%7E0-1-8%7E%7E%26amp%3B%7E%7E2%2B5%2B1%26amp%3B7%2B3%2B3%5C%5C1%2B4%2B1%26amp%3B-1%2B2-9%26amp%3B2%2B2-5%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C%5C%5C%5Cboxed%7BX%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26amp%3B2%26amp%3B5%5C%5C-9%26amp%3B8%26amp%3B13%5C%5C6%26amp%3B-8%26amp%3B-1%5Cend%7Barray%7D%5Cright%5D+%7D%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%5Clongleftarrow%5Ctext%7BResposta%7D "\left[\begin{array}{ccc}-1&4&5\\0&2&7\\1&-1&2\end{array}\right] +\left[\begin{array}{ccc}3&5&2\\-1&5&3\\4&2&2\end{array}\right] - \left[\begin{array}{ccc}2&7&2\\8&-1&-3\\-1&9&5\end{array}\right] \\\\\\X= \left[\begin{array}{ccc}-1+3-2~~&~~4+5-7~ ~&5+2-2\\~0-1-8~~&~~2+5+1&7+3+3\\1+4+1&-1+2-9&2+2-5\end{array}\right] \\\\\\\\\boxed{X= \left[\begin{array}{ccc}0&2&5\\-9&8&13\\6&-8&-1\end{array}\right] }~~~~~~~~~~~~~~\longleftarrow\text{Resposta}")
francysilva321:
MUITOOO OBRIGADO VIU...
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