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.

DetailsDetails

  • m must be a square matrix.
  • It can contain numeric or symbolic entries.
  • 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]. »
Introduced in 2003
(5.0)
| Updated in 2007
(6.0)