New posts in companion-matrices

Find the roots of a polynomial using its companion matrix

matrices polynomials eigenvalues-eigenvectors roots companion-matrices

Trying to determine the determinant of an abstract matrix

linear-algebra abstract-algebra matrices companion-matrices

Determinant of a companion matrix

linear-algebra matrices proof-writing determinant companion-matrices

Let $f \in \mathbb{F}[x]$ and $A_f=c(f) $ be the companion matrix of $f$. Given $ g \in \mathbb{F}[x] $ show that $ \dim \ker g(A_f) \leq \deg g $.

linear-algebra companion-matrices

How do iterative methods applied to the companion matrix of a polynomial $p(\lambda)$ relate to $p$ itself?

polynomials numerical-methods eigenvalues-eigenvectors roots companion-matrices

Characteristic polynomial of companion matrix [duplicate]

linear-algebra matrices characteristic-polynomial companion-matrices

The characteristic and minimal polynomial of a companion matrix

linear-algebra abstract-algebra matrices minimal-polynomials companion-matrices