For the skew-symmetric equation du dt = Au = 0 c b c 0 a b a 0 u1 u2 u3 , (a) write out
Chapter 5, Problem 5.4.13(choose chapter or problem)
For the skew-symmetric equation du dt = Au = 0 c b c 0 a b a 0 u1 u2 u3 , (a) write out u 0 1 , u 0 2 , u 0 3 and confirm that u 0 1 u1 +u 0 2 u2 +u 0 3 u3 = 0. (b) deduce that the length u 2 1 +u 2 2 +u 2 3 is a constant. (c) find the eigenvalues of A. The solution will rotate around the axis w = (a,b,c), because Au is the cross product uwwhich is perpendicular to u and w.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer