bash-busybox, 109 bytes

Result

WA

Duration

490ms

Code [DL]

a=(`cat`)
for z in {0..8};{
$[a[t=z]-=a[9+z%3],s+=z/6*a[z]*(a[++t%3+3]*a[q=++t%3]-a[q+3]*a[z%3])/6]
}
echo $s

stdin

73 56 43
14 63 83
06 64 09
01 31 91

stdout

-5755

stderr

/volume/CODE: line 3: 0: command not found
/volume/CODE: line 3: 0: command not found
/volume/CODE: line 3: 0: command not found
/volume/CODE: line 3: 0: command not found
/volume/CODE: line 3: 0: command not found
/volume/CODE: line 3: 0: command not found
/volume/CODE: line 3: -800: command not found
/volume/CODE: line 3: -5755: command not found
/volume/CODE: line 3: 09: value too great for base (error token is "09")

strace