be very careful with your signs when working out determinants. for |tI - A|, i get:
.
possible rational roots of this are 1,-1,2,-2,4,-4,8,-8,16,-16. i believe you will find this factors completely.
2)A)
find the definative polinomial and the minimal polinomial of
find the primary decomposition of in this case,and write the diagonal block matrices
similar to A
?
B)
find the jordan form of A defined in part A
and find the transformation matrices to the basis for which it represented in jordan form.
how i tried:
regarding A:
how i tried:
|tI-A|= = = =
=
there are some roots possible by theory t=1,-1,+28,-28
t=1: 1-8+24-28
t=-1: -1-8-24-28
from the calculator the other dont work too
??