In matrix theory, Sylvester's formula, named after James Joseph Sylvester, expresses matrix functions in terms of the eigenvalues and eigenvectors of a matrix. It is only valid for diagonalizable matrices; an extension due to Buchheim covers the general case.

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  • In matrix theory, Sylvester's formula, named after James Joseph Sylvester, expresses matrix functions in terms of the eigenvalues and eigenvectors of a matrix. It is only valid for diagonalizable matrices; an extension due to Buchheim covers the general case.
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  • In matrix theory, Sylvester's formula, named after James Joseph Sylvester, expresses matrix functions in terms of the eigenvalues and eigenvectors of a matrix. It is only valid for diagonalizable matrices; an extension due to Buchheim covers the general case.
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  • Sylvester's formula
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