Mostre que o determinante abaixo vale 3abcd:
![det E = \left[\begin{array}{cccc}0&b&c&d\\a&0&0&d\\a&0&c&0\\a&b&0&0\end{array}\right]](https://tex.z-dn.net/?f=det+E+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D0%26amp%3Bb%26amp%3Bc%26amp%3Bd%5C%5Ca%26amp%3B0%26amp%3B0%26amp%3Bd%5C%5Ca%26amp%3B0%26amp%3Bc%26amp%3B0%5C%5Ca%26amp%3Bb%26amp%3B0%26amp%3B0%5Cend%7Barray%7D%5Cright%5D "det E = \left[\begin{array}{cccc}0&b&c&d\\a&0&0&d\\a&0&c&0\\a&b&0&0\end{array}\right]")
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