Seja A uma matriz quadrada de ordem 3 cujos elementos são dados por aij={0,se i/j {i+j,se i=j,calcule; b)A+i3
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temos a seguinte matriz:
![A=a_{ij} = \left \{ \begin{matrix} 0, & \mbox{se }i \neq j \\ i+j, & \mbox{se }i=j \end{matrix} \right.\\\\\\A= \left[\begin{array}{ccc}2&0&0\\0&4&0\\0&0&6\end{array}\right] \\\\\\\mbox{Portanto, temos que:}\\\\A+I_3 = \left[\begin{array}{ccc}2&0&0\\0&4&0\\0&0&6\end{array}\right]+\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]=\left[\begin{array}{ccc}3&0&0\\0&5&0\\0&0&7\end{array}\right]](https://tex.z-dn.net/?f=A%3Da_%7Bij%7D+%3D+%5Cleft+%5C%7B+%5Cbegin%7Bmatrix%7D+0%2C+%26amp%3B+%5Cmbox%7Bse+%7Di+%5Cneq+j+%5C%5C+i%2Bj%2C+%26amp%3B+%5Cmbox%7Bse+%7Di%3Dj+%5Cend%7Bmatrix%7D+%5Cright.%5C%5C%5C%5C%5C%5CA%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B0%26amp%3B0%5C%5C0%26amp%3B4%26amp%3B0%5C%5C0%26amp%3B0%26amp%3B6%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C%5Cmbox%7BPortanto%2C+temos+que%3A%7D%5C%5C%5C%5CA%2BI_3+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26amp%3B0%26amp%3B0%5C%5C0%26amp%3B4%26amp%3B0%5C%5C0%26amp%3B0%26amp%3B6%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B0%26amp%3B0%5C%5C0%26amp%3B1%26amp%3B0%5C%5C0%26amp%3B0%26amp%3B1%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B0%26amp%3B0%5C%5C0%26amp%3B5%26amp%3B0%5C%5C0%26amp%3B0%26amp%3B7%5Cend%7Barray%7D%5Cright%5D "A=a_{ij} = \left \{ \begin{matrix} 0, & \mbox{se }i \neq j \\ i+j, & \mbox{se }i=j \end{matrix} \right.\\\\\\A= \left[\begin{array}{ccc}2&0&0\\0&4&0\\0&0&6\end{array}\right] \\\\\\\mbox{Portanto, temos que:}\\\\A+I_3 = \left[\begin{array}{ccc}2&0&0\\0&4&0\\0&0&6\end{array}\right]+\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]=\left[\begin{array}{ccc}3&0&0\\0&5&0\\0&0&7\end{array}\right]")
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