Q.

If A is a skew Hermitian matrix, then the main diagonal elements of A are all

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a

purely real

b

positive

c

negative

d

purely imaginary

answer is D.

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Detailed Solution

A∗=−A=⇒(A¯)′=−A⇒aii¯=−aii∀i⇒2Re⁡aii=0⇒aii  is purely imaginary.
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