Problem, given the matrix \[ \left ( {\begin {array} [c]{cc}1 & 2\\ 3 & 2 \end {array}} \right ) \] Verify that matrix is a zero of its characteristic polynomial. The Characteristic polynomial of the matrix is found, then evaluated for the matrix. The result should be the zero matrix.

Mathematica

Matlab

MATLAB has a build-in function polyvalm() to do this more easily than in Mathematica. Although the method shown in Mathematica can easily be made into a Matlab function