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Sudhanshu ranjan Asked a Question
August 28, 2020 11:37 pmpts 30 pts
  • CSIR NET
  • Mathematical Sciences

Let v be the set of all n×n orthogonal matrices over r. is it a vector space over r?

Let V be the set of all n×n orthogonal matrices over R. Is it a vector space over R?
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  • Shashi ranjan sinha thankyou
    proof 2
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  • Shashi ranjan sinha Best Answer
    No, it doesn't form a vector space. see the proof 1, keeping in mind of the definition which is as : A matrix M is said to be orthogonal iff it is invertible and it's inverse is tr...
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