Qual a matrix de C = aij 3x3 tal que cij = i+2j ?
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A seguir, temos uma matriz 3x3 representadas as posições (linha, coluna):
![\left[\begin{array}{ccc}1,1&1,2&1,3\\2,1&2,2&2,3\\3,1&3,2&3,3\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%2C1%26amp%3B1%2C2%26amp%3B1%2C3%5C%5C2%2C1%26amp%3B2%2C2%26amp%3B2%2C3%5C%5C3%2C1%26amp%3B3%2C2%26amp%3B3%2C3%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}1,1&1,2&1,3\\2,1&2,2&2,3\\3,1&3,2&3,3\end{array}\right]")
Substituindo na lei de formação dos elementos da matriz C, temos:
![\left[\begin{array}{ccc}1+2\cdot1&1+2\cdot2&1+2\cdot3\\2+2\cdot1&2+2\cdot2&2+2\cdot3\\3+2\cdot1&3+2\cdot2&3+2\cdot3\end{array}\right] =](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%2B2%5Ccdot1%26amp%3B1%2B2%5Ccdot2%26amp%3B1%2B2%5Ccdot3%5C%5C2%2B2%5Ccdot1%26amp%3B2%2B2%5Ccdot2%26amp%3B2%2B2%5Ccdot3%5C%5C3%2B2%5Ccdot1%26amp%3B3%2B2%5Ccdot2%26amp%3B3%2B2%5Ccdot3%5Cend%7Barray%7D%5Cright%5D+%3D+ "\left[\begin{array}{ccc}1+2\cdot1&1+2\cdot2&1+2\cdot3\\2+2\cdot1&2+2\cdot2&2+2\cdot3\\3+2\cdot1&3+2\cdot2&3+2\cdot3\end{array}\right] =")
![\left[\begin{array}{ccc}1+2&1+4&1+6\\2+2&2+4&2+6\\3+2&3+4&3+6\end{array}\right] =](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%2B2%26amp%3B1%2B4%26amp%3B1%2B6%5C%5C2%2B2%26amp%3B2%2B4%26amp%3B2%2B6%5C%5C3%2B2%26amp%3B3%2B4%26amp%3B3%2B6%5Cend%7Barray%7D%5Cright%5D+%3D+ "\left[\begin{array}{ccc}1+2&1+4&1+6\\2+2&2+4&2+6\\3+2&3+4&3+6\end{array}\right] =")
![\left[\begin{array}{ccc}3&5&7\\4&6&8\\5&7&9\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B5%26amp%3B7%5C%5C4%26amp%3B6%26amp%3B8%5C%5C5%26amp%3B7%26amp%3B9%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}3&5&7\\4&6&8\\5&7&9\end{array}\right]")
Substituindo na lei de formação dos elementos da matriz C, temos:
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