Me ajudem por favor a responder essa questao.
Dadas as matrizes a=3 -1 4 5 7 2,b=0 -2 2 1 -4 8,c=8 11 -6.calcule
a) (a+b).c
b) a.c+b.c
Eu preciso dessa conta para hoje
Anexos:
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Soluções para a tarefa
Respondido por
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Esta detalhado na folha, mas resumidamente:
a.![( \left[\begin{array}{ccc}3&-1&4\\5&7&2\end{array}\right] + \left[\begin{array}{ccc}0&-2&2\\1&-4&8\end{array}\right])* \left[\begin{array}{ccc}8\\11\\-6\end{array}\right] = \left[\begin{array}{ccc}-45\\21\end{array}\right] ( \left[\begin{array}{ccc}3&-1&4\\5&7&2\end{array}\right] + \left[\begin{array}{ccc}0&-2&2\\1&-4&8\end{array}\right])* \left[\begin{array}{ccc}8\\11\\-6\end{array}\right] = \left[\begin{array}{ccc}-45\\21\end{array}\right]](https://tex.z-dn.net/?f=+%28+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B-1%26amp%3B4%5C%5C5%26amp%3B7%26amp%3B2%5Cend%7Barray%7D%5Cright%5D+%2B++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26amp%3B-2%26amp%3B2%5C%5C1%26amp%3B-4%26amp%3B8%5Cend%7Barray%7D%5Cright%5D%29%2A++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C11%5C%5C-6%5Cend%7Barray%7D%5Cright%5D+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-45%5C%5C21%5Cend%7Barray%7D%5Cright%5D)
b.![( \left[\begin{array}{ccc}3&-1&4\\5&7&2\end{array}\right] *\left[\begin{array}{ccc}8\\11\\-6\end{array}\right] )+(\left[\begin{array}{ccc}0&-2&2\\1&-4&8\end{array}\right]*\left[\begin{array}{ccc}8\\11\\-6\end{array}\right]) = \left[\begin{array}{ccc}-45\\21\end{array}\right] ( \left[\begin{array}{ccc}3&-1&4\\5&7&2\end{array}\right] *\left[\begin{array}{ccc}8\\11\\-6\end{array}\right] )+(\left[\begin{array}{ccc}0&-2&2\\1&-4&8\end{array}\right]*\left[\begin{array}{ccc}8\\11\\-6\end{array}\right]) = \left[\begin{array}{ccc}-45\\21\end{array}\right]](https://tex.z-dn.net/?f=%28+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B-1%26amp%3B4%5C%5C5%26amp%3B7%26amp%3B2%5Cend%7Barray%7D%5Cright%5D+%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C11%5C%5C-6%5Cend%7Barray%7D%5Cright%5D+%29%2B%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26amp%3B-2%26amp%3B2%5C%5C1%26amp%3B-4%26amp%3B8%5Cend%7Barray%7D%5Cright%5D%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C11%5C%5C-6%5Cend%7Barray%7D%5Cright%5D%29+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-45%5C%5C21%5Cend%7Barray%7D%5Cright%5D+)
a.
b.
Anexos:
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