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  1. Adgorn

    I Proving a lemma on decomposition of V to T-cyclic subspace

    I am reading Schaum's outlines linear algebra, and have reached an explanation of the following lemma: Let ##T:V→V## be a linear operator whose minimal polynomial is ##f(t)^n## where ##f(t)## is a monic irreducible polynomial. Then V is the direct sum ##V=Z(v_1,T)⊕...⊕Z(v_r,T)## of T-cyclic...
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