Are K1 and K2 Hermitian or Anti-Hermitian?

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A and B are two Hermitian vector operators.
K1=AXB, K2=AXB-BXA.
Are K1 and K2 hermitian or anti-hermitian?
 
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What is X?
 
I assume it means cross product.

ber70, show us your attempt. What is the definition of hermiticity/antihemiticity? How would you use that to check whether your operators are hermitian?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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