mathtastic
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- Jun 24, 2021
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It is V a finite (non endless) K-vector space and f: V --> V.
Show that these statements are equivalent.
a) ker(f)=ker(f²)
b) im(f) ∩ ker(f) = {0}
c) V = im(f) ⊕ ker(f)
d) im(f) = im(f²)
Show that these statements are equivalent.
a) ker(f)=ker(f²)
b) im(f) ∩ ker(f) = {0}
c) V = im(f) ⊕ ker(f)
d) im(f) = im(f²)