Consider the relation R$=\{$ G$,$H$,$I,J$,$K$,$L$\}$ and the following set of functional dependencies, which is a minimal cover already.

GH$->$I

G$->$J

I$->$KL

$($a$)$ Find out all the keys of R$.$

$($b$)$ Determine at which normal form is that table.

$($c$)$ Decompose R into second normal form relations$($if not in $2$NF$).$ Make sure the decomposition is lossless!

$($d$)$ Decompose R into third normal form relations $($if not in $3$NF$).$ Make sure the decomposition is lossless!