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JEE Main Math Class 12 Matrices Part 1 Questions
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© examsnet.com
Question : 48
Total: 100
Let
A
=
(
1
0
0
0
1
1
1
0
0
)
. Then
A
2025
−
A
2020
is equal to
[2021, 26 Aug. Shift-II]
A
6
−
A
A
5
A
5
−
A
A
6
Validate
Solution:
A
=
(
1
0
0
0
1
1
1
0
0
)
Now,
A
2
=
(
1
0
0
0
1
1
1
0
0
)
(
1
0
0
0
1
1
1
0
0
)
=
(
1
0
0
1
1
1
1
0
0
)
A
3
=
(
1
0
0
1
1
1
1
0
0
)
(
1
0
0
0
1
1
1
0
0
)
=
(
1
0
0
2
1
1
1
0
0
)
A
4
=
(
1
0
0
2
1
1
1
0
0
)
(
1
0
0
0
1
1
1
0
0
)
=
(
1
0
0
3
1
1
1
0
0
)
......
......
A
n
=
(
1
0
0
n
−
2
1
1
1
0
0
)
(
1
0
0
0
1
1
1
0
0
)
=
(
1
0
0
n
−
1
1
1
1
0
0
)
A
2025
−
A
2020
=
(
1
0
0
2024
1
1
1
0
0
)
−
(
1
0
0
2019
1
1
1
0
0
)
=
(
0
0
0
5
0
0
0
0
0
)
Now,
A
6
−
A
=
[
1
0
0
5
1
1
1
0
0
]
−
[
1
0
0
0
1
1
1
0
0
]
=
[
0
0
0
5
0
0
0
0
0
]
∴
A
2025
−
A
2020
=
A
6
−
A
© examsnet.com
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