$(4$pts$)$ Show that the following grammar is ambiguous.

$SSS,$

$S,$

$S$aSb,

$S$bSa

$(4$pts$)$ Show that the two grammars

$S$abAB$|ba,||$

$A$ aaa,

$BaA|bb||$

and

$S$ abAaA $|$ abAbb $|ba,$

$A$ aaa

are equivalent.