Sayan posted an Question
June 25, 2020 • 00:44 am 30 points
  • IIT JAM
  • Physics (PH)

. which of the following cannot possibly be the eigenvalues of a real 3 x 3 matrix? a. 1, 1,-11 b. 1, 1+i, 1-i c. 1, 0,-1 d. -1, 1+i,-1+i

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    Aditi agrawal

    and the property is that eigen values of a real matrox cannot be complex

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    and the sum of eigen values is equal to the trace of the matrix

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    so only option d gives complex trace which cannot be possible for real matrix

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    thank you 😊 madam

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    i am not madam i am also a student

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    Dhairya sharma best-answer

    it's a property of real matrices. plz note it down.

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    Dhairya sharma Best Answer

    reason for that for real matrix....if eigen values is imaginary then it's complex conjugate should exisf

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    exist

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    if we have imaginary eigen value then it's complex conjugate will also exist.

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    so option d is not satisfying the condition

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    thank you madam

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