Dadas as matrizes A=![\left[\begin{array}{ccc}3&1\\4&-2\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B1%5C%5C4%26amp%3B-2%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}3&1\\4&-2\end{array}\right]")
e B=![\left[\begin{array}{ccc}x+y&x-3\\1&-2\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%2By%26amp%3Bx-3%5C%5C1%26amp%3B-2%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}x+y&x-3\\1&-2\end{array}\right]")
, determine x e y para que A=B t
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O problema diz que a Matriz A é igual a transposta de B.
![A= \left[\begin{array}{cc}3&1 \\ 4&-2\end{array}\right] =B^t= \left[\begin{array}{cc}x+y&1\\x-3&-2\end{array}\right] \\ \\ \\ 4=x-3\\ 4+3=x\\ 7=x\\ \\ 3=7+y\\ 3-7=y\\ -4=y](https://tex.z-dn.net/?f=A%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%26amp%3B1+%5C%5C+4%26amp%3B-2%5Cend%7Barray%7D%5Cright%5D+%3DB%5Et%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%2By%26amp%3B1%5C%5Cx-3%26amp%3B-2%5Cend%7Barray%7D%5Cright%5D++%5C%5C++%5C%5C++%5C%5C+4%3Dx-3%5C%5C+4%2B3%3Dx%5C%5C+7%3Dx%5C%5C+%5C%5C+3%3D7%2By%5C%5C+3-7%3Dy%5C%5C+-4%3Dy "A= \left[\begin{array}{cc}3&1 \\ 4&-2\end{array}\right] =B^t= \left[\begin{array}{cc}x+y&1\\x-3&-2\end{array}\right] \\ \\ \\ 4=x-3\\ 4+3=x\\ 7=x\\ \\ 3=7+y\\ 3-7=y\\ -4=y")
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