IIT JAM
Harshal Asked a Question
July 26, 2020 12:03 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

Given the matrix

  • 3 Answer(s)
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  • Deepak singh Best Answer
    see attached, i have mentioned how to find AM and GM
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    Likes(2) Reply(0)
  • Deepak singh thankyou
    see
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    Likes(1) Reply(15)
    Harshal
    what is AM and GM?
  • Shashi ranjan sinha thankyou
    see the attachment
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    Likes(0) Reply(9)
    Shashi ranjan sinha
    The result that I have wrote for such a matrix M is very helpful.
  • Shashi ranjan sinha
    the correct options are 1,2, 3,4
    Likes(0) Reply(3)
    Harshal
    2nd is aslo correct
  • Deepak singh
    see , it may help u
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  • Deepak singh
    see, this symmetric complex matrix is no diagonizable.. so, A symmtric matrix may not be diagonizable.
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  • Deepak singh
    in the above example AM is not equal to GM also .. result- A matrix is diagonizable iff it has n eigenvalues and AM= GM of each eigenvalues.. this result holds in both real and...
    Show more
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  • Shashi ranjan sinha
    Similar question has been asked in CSIR NET Dec 19 in part C
    Likes(1) Reply(0)
  • Deepak singh
    if any doubt then ask..
    Likes(0) Reply(0)
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