7.3. Jordan form
7.3. Jordan form. Canonical form for matrices and transformations. N nilpotent on V n . Cyclic decomposition V=Z(a 1 ;N) … Z(a r ;N). p 1 ,….,p r N-annihilators, p i+1 |p i , i=1,…,r-1. minpoly N= x k , k n: N r =0 for some r. Thus x r is in Ann(N).
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