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Results tagged with linear-algebra
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user 48831
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
3
votes
1
answer
378
views
Determinant of an "almost cyclic" matrix
Let $n\geq 3$, let $Z$ be the matrix of the cyclic shift (the companion matrix of $X^n-1$), and for $\mathbf{d}\in \mathbb{C}^n$ let
$\operatorname{diag}(\mathbf{d})$ be the diagonal matrix with $\ma …
- 3,255
2
votes
Classification of algebras of finite global dimension via determinants of certain 0-1-matrices
(Not a solution, just a reformulation and a conjecture for $w=3$)
(1) Remark: the question above may equivalently be stated as follows:
Let $Z$ be the matrix of the cyclic shift (the companion matri …
- 3,255