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Byju's Answer
Standard XII
Mathematics
Scalar Matrix
64. If A, B, ...
Question
64. If A, B, C are 3 x 3 matrix and det (A)=2,det (B)=4 and det (C)=1/2 . then the value ofdet (A^4B^{-1}) + det (adj(2C)) is equal to
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Similar questions
Q.
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)
Q.
If B is a non-singular matrix and A is a square matrix, then det (B
−1
AB) is equal to
(a) Det (A
−1
)
(b) Det (B
−1
)
(c) Det (A)
(d) Det (B)
Q.
Let A be a
2
×
3
matrix, whereas B be a
3
×
2
matrix. If det
⋅
(
A
B
)
=
4
, then the value of det
⋅
(
B
A
)
is
Q.
Let
[
A
]
2
×
2
and
[
B
]
3
×
3
be the two matrices such that
det
(
A
)
=
2
and
det
(
B
)
=
3.
Then the value of
det
(
det
(
A
)
⋅
B
)
+
det
(
det
(
B
)
⋅
A
)
is
Q.
If P,Q and R are
n
×
n
matrix and
det(P) = 2, det(Q) = 3 and det(R) = 5,
then find the value of
det
(
P
2
QR
−
1
)
.