# Question: let a matrix a be given by a i...

###### Question details

Let a matrix A be given by

A =

(i) Find the characteristic polynomial of A: p(s) = det(SI - A).
Express (SI - A)^-1 in the form

(SI - A)^-1 = N(s)/p(s)

using the recursive formulas for computing N(s).

(ii) Find using the
result in (i).