Let swap : $\{$a$,$ b$\}\{$a$,$ b$\}$ be the function that exchanges the as and bs in a string. Forexample, swap$($baaba$)=$ abbab and swap$($aaaa$)=$ bbbb$.$ For L a language over $\{$a$,$ b$\},$ define swap$($L$)$ as follows:swap$($L$)=\{$swap$($w$)|$ w L$\}.($a$)$ Suppose A $=\{,$ b$,$ aabb, babababb$\}.$ What is swap$($A$)?($b$)$ You will now show that the class of regular languages over $\{$a$,$ b$\}$ is closed under the swapoperator. Let M $=($Q$,\{$a$,$ b$\},,$ q$0,$ F $)$ be a DFA. Define DFA M such that L$($M $)=$swap$($L$($M $)).($c$)$ Is the class of nonregular languages over $\{$a$,$ b$\}$ closed under the swap operator? Brieflyexplain your answer.