Let V and W be a vector space. dimW=m, dimV=n, and the linear transformations:
T:V-->W
S:W-->V
Need to prove that p (characteristic polynomial) has:
p(SoT) = p(ToS)*x^(m-n)
when "o" means a composition.
Let V and W be a vector space. dimW=m, dimV=n, and the linear transformations:
T:V-->W
S:W-->V
Need to prove that p (characteristic polynomial) has:
p(SoT) = p(ToS)*x^(m-n)
when "o" means a composition.