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JEE Main Math Class 12 Matrices Part 2 Questions
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© examsnet.com
Question : 7
Total: 35
If
A
is a square matrix of order 3 such that
det
(
A
)
=
3
and
det
(
adj
(
−
4
adj
(
−
3
adj
(
3
adj
(
(
2
A
)
−
1
)
)
)
)
)
=
2
m
3
n
, then
m
+
∣
2
n
is equal to:
[6 Apr 2024 Shift 2]
3
2
4
6
Validate
Solution:
👈: Video Solution
|
A
|
=
β
|
adj
(
−
4
adj
(
−
3
adj
(
3
adj
(
(
2
A
)
−
1
)
)
)
)
|
4
6
|
adj
(
−
3
adj
(
3
adj
(
2
A
)
−
1
)
)
|
2
2
12
⋅
3
12
|
3
adj
(
2
A
)
−
1
|
8
2
12
⋅
3
12
⋅
3
24
|
adj
(
2
A
)
−
1
|
8
2
12
⋅
3
36
|
(
2
A
)
−
1
|
16
2
12
⋅
3
36
1
|
2
A
|
16
2
12
⋅
3
36
1
2
48
|
A
|
16
2
12
⋅
3
36
1
2
48
⋅
3
16
3
20
2
36
=
2
−
36
⋅
3
20
m
=
−
36
m
=
4
n
=
20
© examsnet.com
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