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KEAM 2017 Math Paper
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© examsnet.com
Question : 85
Total: 120
If
A
=
(
1
1
1
1
)
,
then
A
2017
is equal to
2
2015
A
2
2016
A
2
2014
A
2
2017
A
2
2020
A
Validate
Solution:
We have,
A
=
[
1
1
1
1
]
∴
A
2
=
A
⋅
A
=
[
1
1
1
1
]
[
1
1
1
1
]
=
[
2
2
2
2
]
=
2
[
1
1
1
1
]
=
2
A
Again,
A
3
=
A
2
⋅
A
=
[
2
2
2
2
]
[
1
1
1
1
]
=
[
4
4
4
4
]
=
4
[
1
1
1
1
]
=
2
2
⋅
A
∴
A
n
=
2
n
−
1
A
∴
A
2017
=
2
2016
A
© examsnet.com
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