- have all real diagonal elements
- must have all diagonal elements as 0 and rest as imaginary numbers
- must have all real elements
- must be a singular matrix

Answer: Option 3

Explanation:

All symmetric, skew-symmetric and orthogonal matrices must always have ONLY real elements.

Previous Question : A = 0 i
i 0
is a-

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If there is nothing new under the sun, at least the sun itself is always new, always re-creating itself out of its own inexhaustible fire.

-Michael Sims
Apollo's Fire: A Day on Earth in Nature and Imagination