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Thread: Diagonalisation

  1. #1
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    Diagonalisation

    When a matrix is diagonalisable?

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  2. #2
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    Re: Diagonalisation

    A (square) matrix is diagonalizable if and only if it has a full set of eigenvectors. That is, there exist a basis for the vector space consisting of eigenvectors of the matrix. Since distinct eigenvalues correspond to independent eigenvectors, an n by n matrix with n distinct eigenvalues is diagonalizable but there a matrix with duplicate eigenvalues may still be diagonalizable if there exist enough independent eigenvectors.
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  3. #3
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    Re: Diagonalisation

    Sir,
    What about Jordan canonical form?

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  4. #4
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    Re: Diagonalisation

    Every matrix has a "Jordan Canonical Form".
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  5. #5
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    Re: Diagonalisation

    Quote Originally Posted by snehal View Post
    When a matrix is diagonalisable?
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