- #1

djinteractive

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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 it continues to circultate about a radius five circle.

I know I have to find some vectors Vr(real) and Vi(imaginary) that span the plane and are orthogonal to it. The eigen vectors if I remember correctly should come in a pair Vr +

**i**Vi and Vr-

**i**Vi that I can normalize with PDP-1(inverse) but I am having a problem with how to get these eigenvalues that span the plane.. will someone PLEASE (I'm begging you) help me.. this is driving me insane

PS the 3rd (in z direction should just be a real lambda value I think)