matrius canóniques

matriu:
a   b
b (-a)


polinomi característic:
P(x) = x^{2}+(-1)( a^{2}+b^{2} )


valor propi:
( a^{2}+b^{2} )^{(1/2)}


ker de base canónica:
( a+(-1)(a^{2}+b^{2})^{(1/2)} )·x+b·y = 0
b·x+( (-a)+(-1)(a^{2}+b^{2})^{(1/2)} )·y = 0


ker cíclic de base canónica:
( (-a)+(-1)(a^{2}+b^{2})^{(1/2)} )·x+b·y = 0
b·x+( a+(-1)(a^{2}+b^{2})^{(1/2)} )·y = 0


base canónica cíclica:
< a+(a^{2}+b^{2})^{(1/2)},b >
< b,a+(a^{2}+b^{2})^{(1/2)} >


matriu canónica:
(a^{2}+b^{2})^{(1/2)}            1
           0                       (a^{2}+b^{2})^{(1/2)}