et
A
A be a
3
×
3
3×3 matrix such that
A
+
A
T
=
O
A+A
T
=O. If
A
[
1
−
1
0
]
=
[
3
3
2
]
,
A
2
[
1
−
1
0
]
=
[
−
3
19
−
24
]
A
1
−1
0
=
3
3
2
,A
2
1
−1
0
=
−3
19
−24
and
det
(
adj
(
2
adj
(
A
+
I
)
)
)
=
2
α
3
β
1
1
γ
,
det(adj(2adj(A+I)))=2
α
3
β
11
γ
,
where
α
,
β
,
γ
α,β,γ are non-negative integers, then the value of
α
+
β
+
γ
α+β+γ is ________.
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