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 1d accepted When does a matrix have a cyclic decomposition and when a rational form? 1d comment When does a matrix have a cyclic decomposition and when a rational form? should it be $\mathtt{diag} (C_{(x-1)^2(x-2}, C_{x-1})$, as $p_2 \mid p_1$? 1d comment When does a matrix have a cyclic decomposition and when a rational form? I thought I got it... mmm... is it true that with field extension, the minimal polynomial might factor out more, hence the annihilators might change and so does the rational form, as it's built by the blocks of companion matrix of the annihilators? 1d revised When does a matrix have a cyclic decomposition and when a rational form? deleted 1 character in body Apr14 asked When does a matrix have a cyclic decomposition and when a rational form? Apr13 accepted How to prove: $\alpha$ and $\gamma$ have the same $T$-annihilator, then so do $f\alpha$ and $f\gamma$ Apr12 comment How to prove: $\alpha$ and $\gamma$ have the same $T$-annihilator, then so do $f\alpha$ and $f\gamma$ Yes your assumptions are right, sorry I omitted those notations. I've updated the question with my try. Hopefully it's correct? Apr12 revised How to prove: $\alpha$ and $\gamma$ have the same $T$-annihilator, then so do $f\alpha$ and $f\gamma$ added 677 characters in body Apr12 asked How to prove: $\alpha$ and $\gamma$ have the same $T$-annihilator, then so do $f\alpha$ and $f\gamma$ Apr5 awarded Talkative Apr1 accepted A question on “Linear Algebra” by Kenneth Hoffman Apr1 comment A question on “Linear Algebra” by Kenneth Hoffman thank you! how silly I'm. $[0;1;-1]$ is the other eigenvector that the eigenvalue is $1$. Mar31 asked A question on “Linear Algebra” by Kenneth Hoffman Mar29 comment Hoffman “Linear Algebra”: why need such a long proof? @HagenvonEitzen of course. how silly i am, from triangle jumping to diagonal.... Mar29 comment Hoffman “Linear Algebra”: why need such a long proof? @HagenvonEitzen I updated the question. Mar29 revised Hoffman “Linear Algebra”: why need such a long proof? added 320 characters in body Mar29 asked Hoffman “Linear Algebra”: why need such a long proof? Mar28 accepted How is multiplication defined on Grassman ring? Mar28 asked How is multiplication defined on Grassman ring? Mar28 comment Recommend me a text or webpage introducting gamma function throughly Ch11 is not about Gamma function?@vladhagen