Can anyone explain to me the operation of the following FET arrray .
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You didn't provide too many clues as to what you are interested in... By the way, it's all written in the datasheet you linked. This device is just 2 N-channel FETs in one package, with their drains connected. Nothing fancy. For example you can use it for high-side switching, as its Rdson and voltage range makes it suitable for the task.
Also recommended reading: EETimes: A primer on high-side FET load switches (Part 1 of 2)