UPSC NDA I 2015 Mathematics Solved Paper

For a Hermitian matrix
A=

−

AT

Given that the elements of the matrix are complex numbers.
If
Then it is Skew-Hermitian matrix
Applying the above concepts to the given question, we get
A=(

0	−4+i
4+i	0

)
AT=(

0	4+i
−4+i	0

)

−

AT

=(

0	4−i
−4−i	0

)
=(

0	−(−4+i)
−(4+i)	0

)
=−(

0	−4+i
4+i	0

)
=−A
Therefore, the above matrix is skew-Hermitian matrix.