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Sudhanshu ranjan Asked a Question
September 1, 2020 1:12 ampts 30 pts
  • CSIR NET
  • Mathematical Sciences

Is orthogonal complement of a subspace w of v unique?

Is orthogonal complement of a subspace W of V Unique?
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  • Anonymous User Best Answer
    suppose A and B be the orthogonal complement of W. Let x be arbitrary vector in A. Then, x belongs to V such that = 0, for all y in W. This by definition of B gives that x be...
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  • Anonymous User thankyou
    yes, it is unique.
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  • Satpal singh
    https://math.stackexchange.com/questions/1106649/a-proof-that-orthogonal-complement-is-unique
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  • Satpal singh
    u will get proof of this in the given link
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