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Aditi Agrawal posted an Question
June 26, 2020 • 18:47 pm 30 points
  • IIT JAM
  • Physics (PH)

How can we know that for same eigen values how many eigen vectors are possible??

how can we know that for same eigen values how many eigen vectors are possible??

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    Aditi agrawal

    please prove orthogonality relation for these eigen vectors for same eigen value

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    dear they are not orthogonal

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    Dhairya sharma best-answer

    we have infinite eigen vectors satisfying the condition of the vector

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    go through the link https://www.engineeringmathgeek.com/eigenvectors-of-repeated-eigenvalues/

  • Mahak

    by n-r formula where n is order of matrix and r is rank of matrix , so by n-r we can find the number of linearly independent eigenvectors for same eigenvalues

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    Dhairya sharma

    dear it depends on condition or situation. for same eigen value eigen vectors may be different or may be same

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    Ruby negi Best Answer

    infinity Eigen vectors can be possible but only those eigen vectors are valid which are orthogonal to each other .

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    these two are eigen vectors for same eigen value.please prove orthogonality relation for these vectors which i am attaching in my cmnt

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