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| ![\left[\begin{array}{ccc} -2a &a+b & a+c\\b+c& -2b&b+c\\c+a&c+b&-2a\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D+-2a+%26amp%3Ba%2Bb+%26amp%3B+a%2Bc%5C%5Cb%2Bc%26amp%3B+-2b%26amp%3Bb%2Bc%5C%5Cc%2Ba%26amp%3Bc%2Bb%26amp%3B-2a%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc} -2a &a+b & a+c\\b+c& -2b&b+c\\c+a&c+b&-2a\end{array}\right]")
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solve this determinants .
maths
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Solution is in the attachment.
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