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Is there a general way to get the QR decomposition of a companion matrix?

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#linear-algebra #matrices #number-theory #matrix-decomposition #companion-matrices
109
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Prove there is a basis of $V$ w.r.t. which $T$ is the companion matrix of $a(x)$

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#linear-algebra #abstract-algebra #modules #companion-matrices
390
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Find the characteristic polynomial of this matrix

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#linear-algebra #matrices #characteristic-polynomial #companion-matrices
551
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Companion matrix of bivariate polynomial

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#polynomials #eigenvalues-eigenvectors #systems-of-equations #roots #companion-matrices
925
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Jordan basis of $A$ when $A$ is the companion matrix?

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#linear-algebra #matrices #diagonalization #jordan-normal-form #companion-matrices
704
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Matrix similar to a companion matrix

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#linear-algebra #matrices #minimal-polynomials #similar-matrices #companion-matrices
1k
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Applications of companion matrices

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#linear-algebra #matrices #applications #companion-matrices
531
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Companion matrices for multivariate polynomials?

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#linear-algebra #matrices #polynomials #multivariate-polynomial #companion-matrices
255
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Symmetric part of a companion matrix

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#linear-algebra #matrices #symmetric-groups #symmetric-matrices #companion-matrices
345
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Characterization of companion matrices

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#linear-algebra #matrices #companion-matrices
1.1k
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Finding similarity transformation matrix for the companion matrix.

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-equations #companion-matrices
48
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Worst case scenarios for companion matrix method

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#matrices #eigenvalues-eigenvectors #roots #rounding-error #companion-matrices
3.2k
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Determinant of a companion matrix

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#linear-algebra #matrices #proof-writing #determinant #companion-matrices
212
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How to check a special form of Companion Matrix is a Primitive Matrix or not?

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#linear-algebra #matrices #companion-matrices
2k
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Eigenvalues of companion matrix of $4x^3 - 3x^2 + 9x - 1$

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#matrices #polynomials #numerical-methods #roots #companion-matrices

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