Q.25 Let S be an n- rowed real skew symmetric matrix, then If X is characteristic...

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Q.25 Let S be an n- rowed real skew symmetric matrix, then If X is characteristic vector of S correcponding to eigen value, then X is also characteristic vector of (I+S) 1-A (I+S)-¹ corresponding to eigen value 1+λ If X is characteristic vector of S corresponding to eigen value, then X is also characteristic vector of 1+2 (I+S) (I-S)¹ corresponding to eigen value 1-A If X is charactristic vector of S correcponding to eigen value I, then X need not to be characteristic vector of (I+S) (I-S)-1 None of these Q.25 Let S be an n- rowed real skew symmetric matrix, then If X is characteristic vector of S correcponding to eigen value, then X is also characteristic vector of (I+S) 1-A (I+S)-¹ corresponding to eigen value 1+λ If X is characteristic vector of S corresponding to eigen value, then X is also characteristic vector of 1+2 (I+S) (I-S)¹ corresponding to eigen value 1-A If X is charactristic vector of S correcponding to eigen value I, then X need not to be characteristic vector of (I+S) (I-S)-1 None of these

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