maths question plz help me to solve
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explanation:
Sum of symmetric and skew symmetric matrix = 1/2(A + A') + 1/2(A + A')
A =
, A' = ![\left[\begin{array}{cc}4&3\\-2&-5\end{array}\right] \left[\begin{array}{cc}4&3\\-2&-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26amp%3B3%5C%5C-2%26amp%3B-5%5Cend%7Barray%7D%5Cright%5D)
(A + A') =
= ![\left[\begin{array}{cc}8&1\\1&-10\end{array}\right] \left[\begin{array}{cc}8&1\\1&-10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D8%26amp%3B1%5C%5C1%26amp%3B-10%5Cend%7Barray%7D%5Cright%5D)
(A - A') = ![\left[\begin{array}{cc}4&-2&\\3&-5&\end{array}\right] - \left[\begin{array}{cc}4&3\\-2&-5\end{array}\right] \left[\begin{array}{cc}4&-2&\\3&-5&\end{array}\right] - \left[\begin{array}{cc}4&3\\-2&-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26amp%3B-2%26amp%3B%5C%5C3%26amp%3B-5%26amp%3B%5Cend%7Barray%7D%5Cright%5D++-+%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26amp%3B3%5C%5C-2%26amp%3B-5%5Cend%7Barray%7D%5Cright%5D)
=![\left[\begin{array}{cc}0&-5\\5&0\end{array}\right] \left[\begin{array}{cc}0&-5\\5&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%26amp%3B-5%5C%5C5%26amp%3B0%5Cend%7Barray%7D%5Cright%5D)
Now, 1/2(A + A') + 1/2(A - A')
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