I am given that $T:V\rightarrow V$ is a linear transformation over $Q$-vector space $V$. Its characteristic polynomial is $(x^2 - 2)^5(x^2+x+1)^3$ and minimal polynomial is $(x^2 - 2)^3(x^2+x+1)$. I am also given that the nullspace of $T^2-2$ is $4$-dimensional. How do I go about computing the rational canonical form for $T$?
2026-03-26 22:50:12.1774565412
Computing rational canonical form
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