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JEE Main Math Class 12 Matrices Part 2 Questions
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© examsnet.com
Question : 9
Total: 35
Let
A
=
[
2
−
1
1
1
]
. If the sum of the diagonal elements of
A
13
is
3
n
, then
n
is equal to _____.
[8 Apr 2024 Shift 1]
Your Answer:
Validate
Solution:
👈: Video Solution
A
=
[
2
−
1
1
1
]
A
2
=
[
2
−
1
1
1
]
[
2
−
1
1
1
]
=
[
3
−
3
3
0
]
A
3
=
[
3
−
3
3
0
]
[
2
−
1
1
1
]
=
[
3
−
6
6
−
3
]
A
4
=
[
3
−
6
6
−
3
]
[
2
−
1
1
1
]
=
[
0
−
9
9
−
9
]
A
5
=
[
0
−
9
9
−
9
]
[
2
−
1
1
1
]
=
[
−
9
−
9
9
−
18
]
A
6
=
[
−
9
−
9
9
−
18
]
[
2
−
1
1
1
]
=
[
−
27
0
0
−
27
]
A
7
=
[
−
27
−
0
0
−
27
]
[
−
54
27
−
27
−
27
]
=
[
3
6
×
2
−
27
2
27
2
3
6
]
3
7
=
3
n
⇒
n
=
7
© examsnet.com
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