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If A is a skew symmetric matrix and (I + A) is non singular matrix then B = (I – A) (I + A)–1 is

  • Option 1)

    orthogonal matrix 

  • Option 2)

    symmetric matrix 

  • Option 3)

    skew symmetric matrix 

  • Option 4)

    none of these 

 

Answers (1)

best_answer

As we have learned

Skew symmetric matrix -

If A=\left [ a_{ij} \right ]  and  a_{ij}=-a_{ji}  for all i and j

- wherein

 

 

 

 

B'=((I-A)(I+A)^{-1})'=((I+A)^{-1})'(I-A)'

          =((I+A)')^{-1}(I-A)'


Option 1)

orthogonal matrix 

Option 2)

symmetric matrix 

Option 3)

skew symmetric matrix 

Option 4)

none of these 

Posted by

gaurav

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