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the matrix A=[(I,1-2i),(-1-2i,0)], where...

the matrix `A=[(I,1-2i),(-1-2i,0)], where I = sqrt-1,` is

A

symmetric matrix

B

skew-symmetric

C

hermitian

D

skew-hermitian

Text Solution

Verified by Experts

The correct Answer is:
D
We have,
`overset-A={:[(-i,1+2i),(-1+2i,0)]:}`
`(overset-A)={:[(-i,1+2i),(-1+2i,0)]=-[(i,1-2i),(-1-2i,0)]=-A:}`
Hence, A is skew-hermitian.
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