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Fun with Eigenvectors.

Name: Anonymous 2007-07-15 0:43 ID:ajeAriZ/

What are some cool things I can do with eigenvectors.  preferably real world applciations not just proofs and stuff

Name: Anonymous 2007-07-15 11:42 ID:Heaven

vf1^2 = vo1^2 - m2/m1*(m1/m2*(vo1-vf1))^2
vf1^2 = vo1^2 - m2/m1*(m1/m2)^2*(vo1-vf1)^2
vf1^2 = vo1^2 - m1/m2*(vo1-vf1)^2
m1/m2*(vo1-vf1)^2 = vo1^2 - vf1^2
m1/m2*(vo1-vf1)^2 = (vo1+vf1)(vo1-vf1)
m1/m2*(vo1-vf1) = vo1+vf1
m1/m2*vo1-m1/m2*vf1 = vo1+vf1
m1/m2*vo1-vo1 = m1/m2*vf1+vf1
(m1/m2-1)*vo1 = (m1/m2+1)*vf1
vf1 = (m1/m2-1)/(m1/m2+1)*vo1
vf1 = (m1-m2)/(m1+m2)*vo1

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