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Mathematics
Mathematics
Problem
Let
A
=
[
a
i
j
]
A = [a_{ij}]
A
=
[
a
ij
]
and
B
=
[
b
i
j
]
B = [b_{ij}]
B
=
[
b
ij
]
be two
3
×
3
3 \times 3
3
×
3
real matrices such that
b
i
j
=
(
3
)
(
i
+
j
−
2
)
a
i
j
b_{ij} = (3)^{(i+j-2)} a_{ij}
b
ij
=
(
3
)
(
i
+
j
−
2
)
a
ij
. If the determinant of
B
B
B
is 81, then
∣
A
∣
|A|
∣
A
∣
is:
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