A is the matrix . You are given that A has eigenvalues -6 and 3, with algebaric multiplicities 1 and 2 respectively, and that the eigenspace .

a) use the given eigenvalues to find the characteristic equation of A. (do not expand det(A-ILAMBDA), but the construct the equation from its roots.

Hence use the hamilton theorem to find A^{-1} .

I dont know where to being. Any help appreciated,