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Question

If A=23ii3+i57+ii7ie, then A is

A
symmetric
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B
Hermitian
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C
skew Hermitian
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D
none of these
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Solution

The correct option is B Hermitian
A=23ii3+i57+ii7ie¯¯¯¯A

=⎢ ⎢¯¯¯2¯¯¯¯¯¯¯¯¯¯¯3i¯¯¯¯¯¯i¯¯¯¯¯¯¯¯¯¯¯3+i¯¯¯¯¯¯¯5¯¯¯¯¯¯¯¯¯¯¯7+i¯i¯¯¯¯¯¯¯¯¯¯¯7i¯¯¯e⎥ ⎥

=23+ii3i57ii7+ieA

=¯¯¯¯AT23ii3+i57+ii7ie
Hence A is hermitian

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