Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[CharacteristicPolynomial], instead.

- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.

The function charpoly computes the characteristic polynomial of the matrix $A=\det \left(\mathrm{I}\mathrm{\lambda }-A\right)$, where I is the identity matrix and n is the dimension of A.

The command with(linalg,charpoly) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{linalg}\right)\:$

$A≔\mathrm{matrix}\left(3\,3\,\left[1\,2\,3\,1\,2\,3\,1\,5\,6\right]\right)$

$A≔\left[\begin{array}{ccc}1& 2& 3\\ 1& 2& 3\\ 1& 5& 6\end{array}\right]$

$\mathrm{charpoly}\left(A\,x\right)$

$x^3-9x^2$