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Sudhanshu Ranjan posted an Question
August 29, 2020 • 05:07 am 30 points
  • 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 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 transpose of M

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