Determine as matrizes.
a) A+B-C=
b) A-C=
c) (A+B) + (A-C)
Por favor, preciso urgente!
Anexos:
Soluções para a tarefa
Respondido por
1
Pra somar matrizes você tem que somar os elementos que estão na mesma posição.
Por exemplo, o elemento que está na primeira linha e primeira coluna de uma matriz com o que está na primeira linha e primeira coluna da outra.
a) A + B - C =
![\left[\begin{array}{ccc}2&1\\3&-1\end{array}\right] + \left[\begin{array}{ccc}-1&2\\1&0\end{array}\right] - \left[\begin{array}{ccc}4&-1\\2&1\end{array}\right] </span><span><span>=](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B1%5C%5C3%26amp%3B-1%5Cend%7Barray%7D%5Cright%5D+%2B+++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%26amp%3B2%5C%5C1%26amp%3B0%5Cend%7Barray%7D%5Cright%5D+-++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26amp%3B-1%5C%5C2%26amp%3B1%5Cend%7Barray%7D%5Cright%5D+%3C%2Fspan%3E%3Cspan%3E%3Cspan%3E%3D++ "\left[\begin{array}{ccc}2&1\\3&-1\end{array}\right] + \left[\begin{array}{ccc}-1&2\\1&0\end{array}\right] - \left[\begin{array}{ccc}4&-1\\2&1\end{array}\right] </span><span><span>=")
![=\left[\begin{array}{ccc}2+(-1)
-4&1+2-(-1)\\3+1-2&-1+0-1\end{array}\right] =
\left[\begin{array}{ccc}-3&4\\2&-2\end{array}\right]](https://tex.z-dn.net/?f=+%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%2B%28-1%29+%0A-4%26amp%3B1%2B2-%28-1%29%5C%5C3%2B1-2%26amp%3B-1%2B0-1%5Cend%7Barray%7D%5Cright%5D+%3D++%0A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%26amp%3B4%5C%5C2%26amp%3B-2%5Cend%7Barray%7D%5Cright%5D+ "=\left[\begin{array}{ccc}2+(-1)
-4&1+2-(-1)\\3+1-2&-1+0-1\end{array}\right] =
\left[\begin{array}{ccc}-3&4\\2&-2\end{array}\right]")
b) A-C=
![\left[\begin{array}{ccc}2&1\\3&-1\end{array}\right] -
\left[\begin{array}{ccc}4&-1\\2&1\end{array}\right] =](https://tex.z-dn.net/?f=%C2%A0%0A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B1%5C%5C3%26amp%3B-1%5Cend%7Barray%7D%5Cright%5D+-++%0A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26amp%3B-1%5C%5C2%26amp%3B1%5Cend%7Barray%7D%5Cright%5D+%3D%0A%0A "\left[\begin{array}{ccc}2&1\\3&-1\end{array}\right] -
\left[\begin{array}{ccc}4&-1\\2&1\end{array}\right] =")
![\left[\begin{array}{ccc}-2&2\\1&-2\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%26amp%3B2%5C%5C1%26amp%3B-2%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}-2&2\\1&-2\end{array}\right]")
c) (A+B) + (A-C)
![( \left[\begin{array}{ccc}2&1\\3&-1\end{array}\right] + \left[\begin{array}{ccc}-1&2\\1&0\end{array}\right] )+( \left[\begin{array}{ccc}2&1\\3&-1\end{array}\right] - \left[\begin{array}{ccc}4&-1\\2&1\end{array}\right] ) =](https://tex.z-dn.net/?f=+%28+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B1%5C%5C3%26amp%3B-1%5Cend%7Barray%7D%5Cright%5D+%2B++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%26amp%3B2%5C%5C1%26amp%3B0%5Cend%7Barray%7D%5Cright%5D+%29%2B%28++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B1%5C%5C3%26amp%3B-1%5Cend%7Barray%7D%5Cright%5D+-++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26amp%3B-1%5C%5C2%26amp%3B1%5Cend%7Barray%7D%5Cright%5D+%29+%3D%0A%0A "( \left[\begin{array}{ccc}2&1\\3&-1\end{array}\right] + \left[\begin{array}{ccc}-1&2\\1&0\end{array}\right] )+( \left[\begin{array}{ccc}2&1\\3&-1\end{array}\right] - \left[\begin{array}{ccc}4&-1\\2&1\end{array}\right] ) =")
![=\left[\begin{array}{ccc}2-1&1+2\\3+1&-1+0\end{array}\right] + \left[\begin{array}{ccc}2-4&1-(-1)\\3-2&-1-1\end{array}\right]](https://tex.z-dn.net/?f=++%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2-1%26amp%3B1%2B2%5C%5C3%2B1%26amp%3B-1%2B0%5Cend%7Barray%7D%5Cright%5D+%2B++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2-4%26amp%3B1-%28-1%29%5C%5C3-2%26amp%3B-1-1%5Cend%7Barray%7D%5Cright%5D+ "=\left[\begin{array}{ccc}2-1&1+2\\3+1&-1+0\end{array}\right] + \left[\begin{array}{ccc}2-4&1-(-1)\\3-2&-1-1\end{array}\right]")
![\left[\begin{array}{ccc}1&3\\4&-1\end{array}\right] + \left[\begin{array}{ccc}-2&2\\1&-2\end{array}\right] = \left[\begin{array}{ccc}-1&5\\5&-3\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B3%5C%5C4%26amp%3B-1%5Cend%7Barray%7D%5Cright%5D+%2B++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%26amp%3B2%5C%5C1%26amp%3B-2%5Cend%7Barray%7D%5Cright%5D+%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%26amp%3B5%5C%5C5%26amp%3B-3%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}1&3\\4&-1\end{array}\right] + \left[\begin{array}{ccc}-2&2\\1&-2\end{array}\right] = \left[\begin{array}{ccc}-1&5\\5&-3\end{array}\right]")
Por exemplo, o elemento que está na primeira linha e primeira coluna de uma matriz com o que está na primeira linha e primeira coluna da outra.
a) A + B - C =
b) A-C=
c) (A+B) + (A-C)
Lia192000:
Obg!!!!!!!
De nada. Bons estudos!
Perguntas interessantes