On prescribed characteristic polynomials
arxiv(2024)
摘要
Let 𝔽 be a field. We show that given any nth degree monic
polynomial q(x)∈𝔽[x] and any matrix
A∈𝕄_n(𝔽) whose trace coincides with the trace of q(x)
and consisting in its main diagonal of k 0-blocks of order one, with k更多
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