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secular determinant

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secular determinant [′sek·yə·lər di′tər·mən·ənt]
(mathematics)
For a square matrixA, the determinant of the matrix whose off-diagonal components are equal to those ofA, and whose diagonal components are equal to the difference between those ofAand a parameter λ; it is equal to the characteristic polynomial in λ of the linear transformation represented byA.


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