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JEE Main Math Class 12 Matrices Part 2 Questions
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© examsnet.com
Question : 1
Total: 35
Let
α
∈
(
0
,
∞
)
and
A
=
[
1
2
α
1
0
1
0
1
2
]
.
If
det
(
adj
(
2
A
−
A
T
)
⋅
adj
(
A
−
2
A
T
)
)
=
2
8
, then
(
det
(
A
)
)
2
is equal to :
[4 Apr 2024 Shift 1]
1
49
16
36
Validate
Solution:
👈: Video Solution
|
adj
(
A
−
2
A
T
)
(
2
A
−
A
T
)
|
=
28
|
(
A
−
2
A
T
)
(
2
A
−
A
T
)
|
=
24
|
A
−
2
A
T
|
|
2
A
−
A
T
|
=
±
16
(
A
−
2
A
T
)
T
=
A
T
−
2
A
|
A
−
2
A
T
|
=
|
A
T
−
2
A
|
⇒
|
A
−
2
A
T
|
2
=
16
|
A
−
2
A
T
|
=
±
4
[
1
2
α
1
0
1
0
1
2
]
−
[
2
2
0
4
0
2
2
α
2
4
]
|
−
1
0
α
−
3
0
−
1
−
2
α
−
1
−
2
|
1
+
3
α
=
4
3
α
=
3
α
=
1
A
=
|
1
2
1
1
0
1
0
1
2
|
=
−
1
−
3
=
−
4
|
A
|
2
=
16
© examsnet.com
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