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Question: A skew symmetric matrix S satisfies the relation S<sup>2</sup> + I = 0, where I is a unit matrix, th...

A skew symmetric matrix S satisfies the relation S2 + I = 0, where I is a unit matrix, then SS´ is –

A

I

B

2I

C

–I

D

–2I

Answer

I

Explanation

Solution

Since s is skew symmetric, S´ = – S,

S2 = – I

̃ S.S = –I

̃ S.S.S´ = –I(S´) = IS = S

̃ S–1 S S S´ = S–1S

SS´ = I