$1.$ The Dirac equation is: $0,$ and the adjoint spinor $.$ Use

the following properties of $$ matrices $,2,$and $,$

prove the following identities:

$($a$)0$

$($b$)$product$$of$$odd$$number$$of$$matrices$0$

$($c$)4$

$($d$)4$

$($e$)4$

$($f$)2$

$($g$)4$

$($h$)2$

$($i$)0$

$($j$)0$

$($k$($

$($l$)$ a b $//4$

$($m$)$ abcd $////4$

$($n$)$ a b $//0$

$($o$)$ a$/2$ a$/$

$($p$)$ a$/$ b$/4$

$($q$)$ abc $///2$ cba $///$