If A = \left[\begin{array}{ccc}3&2&-1\\2&-2&0\\1&3&1\end{array}\right], B = \left[\begin{array}{ccc}-3&-1&0\\2&1&3\\4&-1&2\end{array}\right] and X = A + B then find X.
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![A = \left[\begin{array}{ccc}3&2&-1\\2&-2&0\\1&3&1\end{array}\right]\\\\](https://tex.z-dn.net/?f=A+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B2%26amp%3B-1%5C%5C2%26amp%3B-2%26amp%3B0%5C%5C1%26amp%3B3%26amp%3B1%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C "A = \left[\begin{array}{ccc}3&2&-1\\2&-2&0\\1&3&1\end{array}\right]\\\\")
![B = \left[\begin{array}{ccc}-3&-1&0\\2&1&3\\4&-1&2\end{array}\right]\\\\](https://tex.z-dn.net/?f=B+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%26amp%3B-1%26amp%3B0%5C%5C2%26amp%3B1%26amp%3B3%5C%5C4%26amp%3B-1%26amp%3B2%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C "B = \left[\begin{array}{ccc}-3&-1&0\\2&1&3\\4&-1&2\end{array}\right]\\\\")
to find X
we just add both matrix,element by element
![X=A+B = \left[\begin{array}{ccc}3-3&2-1&-1+0\\2+2&-2+1&0+3\\1+4&3-1&1+2\end{array}\right]\\\\](https://tex.z-dn.net/?f=X%3DA%2BB+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3-3%26amp%3B2-1%26amp%3B-1%2B0%5C%5C2%2B2%26amp%3B-2%2B1%26amp%3B0%2B3%5C%5C1%2B4%26amp%3B3-1%26amp%3B1%2B2%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C "X=A+B = \left[\begin{array}{ccc}3-3&2-1&-1+0\\2+2&-2+1&0+3\\1+4&3-1&1+2\end{array}\right]\\\\")
![X= \left[\begin{array}{ccc}0&1&-1\\4&-1&3\\5&2&3\end{array}\right]\\\\](https://tex.z-dn.net/?f=X%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26amp%3B1%26amp%3B-1%5C%5C4%26amp%3B-1%26amp%3B3%5C%5C5%26amp%3B2%26amp%3B3%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C "X= \left[\begin{array}{ccc}0&1&-1\\4&-1&3\\5&2&3\end{array}\right]\\\\")
to find X
we just add both matrix,element by element
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