What is the result of this operation?

the answer is B because you will add and subtract each element with it's corresponding one
The result of this operation is option B. This is obtained by using matrix addition and subtraction.
Adding and subtracting the terms of the matrix since these are matrices with same order. Hence we get,
[tex](\left[\begin{array}{ccc}13&10&7\\6&8&1\\2&5&0\end{array}\right] -\left[\begin{array}{ccc}3&-2&6\\14&-6&11\\8&-12&9\end{array}\right] ) +\left[\begin{array}{ccc}6&10&15\\10&0&9\\1&0&7\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}10&12&1\\-8&14&-10\\-6&17&-9\end{array}\right] +\left[\begin{array}{ccc}6&10&15\\10&0&9\\1&0&7\end{array}\right][/tex]
=[tex]\left[\begin{array}{ccc}16&22&16\\2&14&-1\\-5&17&-2\end{array}\right][/tex]
Thus the required matrix is option B.
Learn more about matrix addition and subtraction here:
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