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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
4
votes
Similarity of a matrix with its transpose
Here is an answer in a very particular but possibly useful case: if $A$ is the companion matrix of the polynomial $f(x)=x^n+a_1x^{n-1}+\cdots+a_{n-1}x+a_n$, i.e.
$$A = \begin{bmatrix} 0 & 0 & \cdots & …