18/06/17 16:00:45.21 lI+JiKnS.net
>>167
(1)
det(A-xI) = (5/2-x)^2 - (3/2)^2 = (x-1)(x-4),
題意より λ1 = 1, λ2 = 2.
T = [ t1，t2]
[-t1，t2]
T^(-1) = [t1，-t1]
[t2， t2]
t1 = ±1/√2，t2 = ±1/√2,
(2)
Ω = T Ωo T^(-1),
また定義により
exp(T Z T^(-1)) = T exp(Z) T^(-1),
∴ D(z) = exp(zΩo),
exp(zΩ) = T exp(zΩo) T^(-1),
(3)
(d/dz) exp(zΩo) = Ωo exp(zΩo),
(d/dz) exp(zΩ) = Ω exp(zΩ),