$1$ Given

$(1)/(2)$Sij$($

$102$

$012$

$303$

$2$

$4$

$3$

$5$ and $(1)/(2)$ai$($

$1$

$2$

$3$

$2$

$4$

$3$

$5$;

evaluate $($a$)$ Sii, $($b$)$ SijSij, $($c$)$ SjiSji, $($d$)$ SjkSkj$,($e$)$ amam, $($f$)$ Smnaman, and $($g$)$ Snmaman.