List questions from matrices

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A characterization of 'orthogonal' matrices

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Determinant of the following n×n matrix:

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System of equations: Incidence matrix

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Existence of symmetric matrix for linear operator

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Does $\det(I+A) = 1 + \mbox{tr}(A)$ hold if $A$ is a rank-$1$ complex matrix?

Published on 25 Mar 2026 - 8:10

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How to construct a matrix $A+B$ which is negative definite, with $A$ and $B$ positive definite?

Published on 13 Mar 2018 - 11:37

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Modulus of eigenvalues of a companion matrix

Published on 26 Mar 2026 - 4:16

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Recurrence series with matrix for $a_n=a_{n-1}-2a_{n-2}$

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Similarity of nilpotent matrices under specific assumptions

Published on 01 Apr 2026 - 1:00

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Jacobian of a quadratic vector field

Published on 24 Mar 2026 - 22:09

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Are the left and right eigenvectors not orthogonal?

Published on 27 Mar 2026 - 15:16

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(asymmetric, transitive) "upstream" relation using matrix representation: how to check completeness of matrix (basic quality check)

Published on 27 Mar 2026 - 14:10

545

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How to construct negative definite $AB$ if $A$ and $B$ are positive definite?

Published on 13 Mar 2018 - 14:37

222

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Frobenius matrix norm inequality

Published on 01 Apr 2026 - 9:58

List Question

How to find the determinant of two non-square matrices?

A characterization of 'orthogonal' matrices

Determinant of the following n×n matrix:

System of equations: Incidence matrix

Existence of symmetric matrix for linear operator

Does $\det(I+A) = 1 + \mbox{tr}(A)$ hold if $A$ is a rank-$1$ complex matrix?

How to construct a matrix $A+B$ which is negative definite, with $A$ and $B$ positive definite?

Modulus of eigenvalues of a companion matrix

Recurrence series with matrix for $a_n=a_{n-1}-2a_{n-2}$

Similarity of nilpotent matrices under specific assumptions

Jacobian of a quadratic vector field

Are the left and right eigenvectors not orthogonal?

(asymmetric, transitive) "upstream" relation using matrix representation: how to check completeness of matrix (basic quality check)

How to construct negative definite $AB$ if $A$ and $B$ are positive definite?

Frobenius matrix norm inequality

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