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CharacteristicPolynomial

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CharacteristicPolynomial[m, x]
gives the characteristic polynomial for the matrix m.
CharacteristicPolynomial[{m, a}, x]
gives the generalized characteristic polynomial with respect to a.
  • m must be a square matrix.
  • It can contain numeric or symbolic entries.
  • CharacteristicPolyonomial[m, x] is essentially equivalent to Det[m-id x] where id is the identity matrix of appropriate size.  »
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