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Deepak Patra posted an Question
January 19, 2022 • 14:52 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Is symmetric matrix is diagonalizable over r

is all symmetric matrix is diagonalizable over R??????????????? ??

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  • Anonymous User best-answer

    every hermitian and skew-hermitian matrix is similar to a diagonal matrix. this fact also true for symmetric and skew-symmetric matrices.

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    got is sir .. real symmetric matrix is diagonalizable but complex symmetric matrix is not diagonalizable ...

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    is this also applied for skew symmetric matrix ... that means skew symmetric matrix with complex entries is not diagonalizable over C

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