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egin{vmatrix}
\end{vmatrix}
= 4 egin{vmatrix} 9 & -18 \ -18 & 20 \end{vmatrix}
+ 4 egin{vmatrix} -6 & 9 \ 4 & -18 \end{vmatrix}
Compute minors:
$ egin{vmatrix} 9 & -18 \ -18 & 20 \end{vmatrix} = (9)(20) - (-18)^2 = 180 - 324 = -144 $
$ egin{vmatrix} -6 & -18 \ 4 & 20 \end{vmatrix} = (-6)(20) - (-18)(4) = -120 + 72 = -48 $
$ egin{vmatrix} -6 & 9 \ 4 & -18 \end{vmatrix} = (-6)(-18) - (9)(4) = 108 - 36 = 72 $
Now plug into determinant expression:
4(-144) + 6(-48) + 4(72) = -576 - 288 + 288 = -576