CharacteristicPolynomial

CharacteristicPolynomial[m,x]

gives the characteristic polynomial for the matrix m.

CharacteristicPolynomial[{m,a},x]

gives the generalized characteristic polynomial with respect to a.

Details

  • 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. »
  • CharacteristicPolynomial[{m,a},x] is essentially Det[m-a x]. »

Examples

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Basic Examples  (1)

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Scope  (2)

Generalizations & Extensions  (1)

Applications  (1)

Properties & Relations  (5)

See Also

Eigenvalues  Det  Eigensystem

Tutorials

Introduced in 2003
(5.0)
| Updated in 2007
(6.0)