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Problem: adj [[10,-9,-12],[7,-12,11],[-10,10,3]] [ Calculator, Method and examples ]

Solution:
Your problem -> adj [[10,-9,-12],[7,-12,11],[-10,10,3]]

Adj(A) =
 10 -9 -12 7 -12 11 -10 10 3

=
+
 -12 11 10 3
-
 7 11 -10 3
+
 7 -12 -10 10
-
 -9 -12 10 3
+
 10 -12 -10 3
-
 10 -9 -10 10
+
 -9 -12 -12 11
-
 10 -12 7 11
+
 10 -9 7 -12
T

=
 +((-12) × 3 - 11 × 10) -(7 × 3 - 11 × (-10)) +(7 × 10 - (-12) × (-10)) -((-9) × 3 - (-12) × 10) +(10 × 3 - (-12) × (-10)) -(10 × 10 - (-9) × (-10)) +((-9) × 11 - (-12) × (-12)) -(10 × 11 - (-12) × 7) +(10 × (-12) - (-9) × 7)
T

=
 +(-36 -110) -(21 +110) +(70 -120) -(-27 +120) +(30 -120) -(100 -90) +(-99 -144) -(110 +84) +(-120 +63)
T

=
 -146 -131 -50 -93 -90 -10 -243 -194 -57
T

=
 -146 -93 -243 -131 -90 -194 -50 -10 -57

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