(Solved now) Gateoverflow test doubt

Question

In this question – https://gateoverflow.in/348646/Gate-overflow-linear-algebra-1-10

for
$A=\begin{bmatrix} 0 & i\\ -i& 0 \end{bmatrix}$

how is (B) valid ?

Comments

https://en.m.wikipedia.org/wiki/Skew-symmetric_matrix#Properties
Yep, the matrix needs to be real as well.

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ok thanks a lot
in the exam, if nothing is specified we can take an imaginary matrix for counter-example, right?

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yep, that would work.

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option should be “When the identity matrix is added to a real skew-symmetric matrix, the resultant matrix is invertible.”