For what two purposes have Claudius and Gertrude summoned Rosencrantz and Guildenstern to Denmark?

For what two purposes have Claudius and Gertrude summoned Rosencrantz and Guildenstern to Denmark?
Claudius and Gertrude want them to spy on Hamlet and be their connection to them. Also, they want to discover the reasons for his madness as well as cheer Hamlet up.

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