Ankur posted an Question
February 10, 2021 • 13:45 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Mat indicate which of the statements are true ? (a) a and a* have same eigenvectors if is an eigenvalue of a, then [|2 is an eigenvalue of a"a. both (a) and (b)

Mat Indicate which of the statements are true ? (A) A and A* have same Eigenvectors If is an Eigenvalue of A, then [|2 is an Eigenvalue of A"A. both (A) and (B) (B) (C) (D) neither (A) nor (B)

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    Sonu saini best-answer

    A and A* has same eigen value not same eigen vector.eigen value of A*A is (lemda )2 not mod lemda square hence answer is d

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    but I think eigen value of A and A^t are same but then the eigen values of AA^t need not to be square of eigen value of A

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    https://youtu.be/0fbeZr8aGfk

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    see this attachment

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    dear Ankur this attachment will help you

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    counter example

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