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© examsnet.com
Question : 52
Total: 69
Consider the following in respect of the matrix
A
=
(
−
1
1
1
−
1
)
1.
A
2
=
−
A
2.
A
3
=
4
A
Which of the above is/are correct?
[NDA I 2016]
1 only
2 only
Both 1 and 2
Neither 1 nor 2
Validate
Solution:
A
=
[
−
1
1
1
−
1
]
A
.
A
=
[
−
1
1
1
−
1
]
[
−
1
1
1
−
1
]
=
[
2
−
2
−
2
2
]
=
−
2
[
−
1
1
1
−
1
]
A
2
=
−
2
A
A
2
.
A
=
−
2
[
−
1
1
1
−
1
]
[
−
1
1
1
−
1
]
=
−
2
[
2
−
2
−
2
2
]
=
4
[
−
1
1
1
−
1
]
A
3
=
4
A
Hence
A
2
≠
−
A
,
A
3
=
4
A
© examsnet.com
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