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Byju's Answer
Standard XII
Mathematics
Adjoint of a Matrix
If A, B and C...
Question
If
A
,
B
and
C
are
n
×
n
matrix and
det
(
A
)
=
2
,
det
(
B
)
=
3
and
det
(
C
)
=
5
, then the value of
[
det
(
A
2
B
C
−
1
)
]
is
(where
[
⋅
]
represents the greatest integer function)
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Solution
Given:
|
A
|
=
2
,
|
B
|
=
3
,
|
C
|
=
5
,
Now,
det
(
A
2
B
C
−
1
)
=
|
A
2
B
C
−
1
|
=
|
A
|
2
|
B
|
|
C
|
=
4
×
3
5
=
12
5
∴
[
det
(
A
2
B
C
−
1
)
]
=
[
12
5
]
=
2
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Standard XII Mathematics
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