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Definition 2024


characteristic_polynomial

characteristic polynomial

English

Noun

characteristic polynomial (plural characteristic polynomials)

  1. (linear algebra) The determinant, of a matrix minus an indeterminant times the identity matrix
    The characteristic polynomial of is .

Usage notes

Equally many authors instead subtract the matrix from the indeterminant times the identity matrix. But the result only differs by multiplication by -1, which isn't important where characteristic polynomials are studied.

Translations

See also