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UPSC NDA Math Model Paper 4
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© examsnet.com
Question : 72
Total: 120
If a matrix A is Symmetric as well as Skew-Symmetric, then:
A is a diagonal matrix
A is a unit matirx
A is a triangular matirx
A is a null matrix
Validate
Solution:
Since, A is skew-symmetric.
A
T
=
−
A
Since,
A
is symmetric.
A
T
=
A
⇒
−
A
=
A
⇒
2
A
=
O
⇒
A
=
O
Hence, A is a null matrix.
Hence, option (4) is correct.
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