I am having trouble getting started with this problem.. I guess I'll explain it first.
Find one possible matrix A for which the solution to Y'=AY with initial condition Y(0)=(6,13,9) has the following property. As time progresses, the solution Y(t) spirals toward the plane 2x+3y+4z=0 where...
The past month or so we have been studing 2 dimensional spaces for their eigenvalues, vectors etc. and have shyed away from higher dimensional systems. These systems have included repeated, complex, and repeated eigenvalues, their phase portraits and the like. But we received this problem...