Which sets of functions in Exercise 9.1.20 can be solutions to a common first order, homogeneous, constant coefficient linear system of ordinary differential equations? If so, find a system they satisfy; if not, explain why not.
In Exercise 9.1.20
Determine whether the following vector-valued functions are linearly dependent or linearly independent:
(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

(I) (i)( 02)() , cos 31 ) ( , sin 3t -e2' sin 31 cos 3t (con 33( in31) sin 3t sin 3tco 3 2 200 t2 et t e el