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Let A and B are 3xx3 matrices with real ...

Let A and B are `3xx3` matrices with real number entries, where A is symmetric, B is skew - symmetric and `(A+B)(A-B)=(A-B)(A+B)`. If `(AB)^(T)=(-1)^(k)AB`, then the sum of all possible integral value of k in `[2, 10]` is equal to (where `A^(T)` represent transpose of matrix A)

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