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Snehasish Ghosh posted an Question
June 26, 2020 • 16:52 pm 30 points
  • IIT JAM
  • Physics (PH)

Do complex eigen values have eigen vectors?please explain.

Do complex eigen values have eigen vectors?Please explain

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    Ghost.

    yes complex eigenvalues do have eigenkets, even sometimes real eigenvalues have complex eigenkets for example PAULI'S MATRICES. check eigenkets of Sigma(y) matrix. Best regards

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    Dhairya sharma Best Answer

    dear we can find eigen vector for complex eigen values but we don't need to find that😜

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    i mean just skip it

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    Chandra prakash best-answer

    If the n × n matrix A has real entries, its complex eigenvalues will always occur in complex conjugate pairs. ... This is very easy to see; recall that if an eigenvalue is complex, its eigenvectors will in general be vectors with complex entries.

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    https://www.google.com/search?client=ms-android-vivo&biw=320&bih=494&sxsrf=ALeKk02I_fHnKYYH37Gi6kGlG5GWzv-5rA%3A1593108506986&ei=Guj0XuztO9KY4-EP6fWb0AI&q=Do+complex+eigen+values+have+eigen+vectors%3F&oq=Do+complex+eigen+values+have+eigen+vectors%3F&gs_lcp=ChNtb2JpbGUtZ3dzLXdpei1zZXJwEAwyBwghEAoQoAEyBwghEAoQoAE6BwgAEEcQsAM6CAgAEOoCEI8BUL00WL00YIE9aANwAHgAgAGfA4gBnwOSAQM0LTGYAQCgAQGgAQKwAQ8&sclient=mobile-gws-wiz-serp#kpvalbx=_zZj1XuboGIal9QOt4JfgCQ43

  • Anonymous User best-answer

    suppose if you have any square matrices with complex eigen values ,to find eigen vectors corresponding to eigen values we just find out linearly independent solution of characteristic equations.

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    sir,please show with an example

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