Maths-
General
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Question

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

  1. I    
  2. 2I    
  3. –I    
  4. –2I    

The correct answer is: I


    Since s is skew symmetric, S´ = – S,
    S2 = – I
    rightwards double arrowS.S = –I
    rightwards double arrowS.S.S´ = –I(S´) = IS = S
    rightwards double arrowS–1 S S S´ = S–1S
    rightwards double arrowSS´ = I

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