Library Database Consider the Library Relations. Give a relational algebra query that shows category_id of books that have an author with the same name as someone who has checked out the book. categories category ID. description bookbook ID category. ID, title, author 10 year price uthorthor ID., date of birth clientsconti client name) checkoutbook 10.client.checkout datere tum date R Oname-client_name (category_id (books y authors checkouts clients)) O Mitte (Oname-client_name(authors ma books > checkouts a clients)) O Tititle (Oname-client_name (authors a checkouts my clients)) Oncategory_id (Onamnerclient_name(authors ma books ma checkouts sa clients)) piggy category_id (books pd name-client name (authors a checkouts))