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Theorem 2, Section 7.1 of Hoffman’s Linear Algebra

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#linear-algebra #proof-explanation #minimal-polynomials #companion-matrices
146
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Cube roots of the identity matrix

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#linear-algebra #matrices #minimal-polynomials #similar-matrices #companion-matrices
167
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How to verify this matrix identity?

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#linear-algebra #matrices #companion-matrices
164
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An interesting way to calculate the powers of a companion matrix

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#linear-algebra #matrices #algorithms #numerical-linear-algebra #companion-matrices
48
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Is every subspace can be represented as T-cyclic for some T?

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#linear-algebra #invariant-subspace #primary-decomposition #companion-matrices #cyclic-decomposition
82
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Matrix with invariant subspace

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#linear-algebra #matrices #eigenvalues-eigenvectors #invariant-subspace #companion-matrices
57
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Reading off module properties from the companion matrix

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#linear-algebra #abstract-algebra #representation-theory #characteristic-polynomial #companion-matrices
71
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Solution of $Ax = x$ where $A$ is a companion matrix

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#linear-algebra #companion-matrices
60
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polynomial root finding with companion matrix

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#polynomials #companion-matrices
46
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Clarification on Companion matrix

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#linear-algebra #companion-matrices
2.9k
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Eigenvalues of an upper Hessenberg matrix

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-decomposition #companion-matrices
4k
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Eigenvalues of a companion matrix

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#linear-algebra #matrices #eigenvalues-eigenvectors #characteristic-polynomial #companion-matrices
1.4k
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Is it possible to find a companion matrix of a polynomial which is also hermitian?

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#linear-algebra #matrices #eigenvalues-eigenvectors #hermitian-matrices #companion-matrices
113
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Expression for polynomial of companion matrix

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#linear-algebra #matrices #control-theory #companion-matrices
720
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Finding roots of polynomial using companion matrix

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#matrices #polynomials #eigenvalues-eigenvectors #roots #companion-matrices

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