List questions from symmetric-matrices

Published on 29 Sep 2019 - 3:45

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symmetric matrix , an orthonormal basis for V is $\{XD^{^{\frac{-1}{2}}}e_{1},...,XD^{^{\frac{-1}{2}}}e_{n}\}$?

Published on 30 Sep 2019 - 5:24

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Derivate of determinant for square forms

Published on 01 Oct 2019 - 5:58

7.2k

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Lower bound on the minimum eigenvalue of sum of two matrices

Published on 19 Mar 2014 - 17:11

13.9k

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Power method for finding all eigenvectors

Published on 26 Mar 2026 - 18:49

1.1k

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Is the cone of rank-$1$ matrices convex and closed?

Published on 27 Mar 2026 - 15:57

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Symmetric Matrices with trace zero

Published on 09 May 2014 - 20:11

66

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How to find the range of $T : M_n(\Bbb{R}) \to M_n(\Bbb{R})$ given by $T(A) = A + A^t$?

Published on 11 May 2014 - 13:05

638

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Is this rank-$1$ matrix semidefinite?

Published on 26 Mar 2026 - 8:42

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What can be said about a matrix which is both symmetric and orthogonal?

Published on 26 Mar 2026 - 21:09

766

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Is the space of symmetric matrices generated by rank-$1$ matrices?

Published on 01 Jul 2014 - 11:35

18.3k

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Why do positive definite symmetric matrices have the same singular values as eigenvalues?

Published on 26 Mar 2026 - 9:38

14.9k

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Matrix notation of an ellipse.

Published on 22 Jul 2014 - 6:57

612

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If $A \succeq B$, is it true that $B^{-1} \succeq A^{-1}$?

Published on 26 Mar 2026 - 20:40

54

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Prove: if $B$ is semidefinite, then $B_{11}$ is semidefinite as well

Published on 27 Mar 2026 - 0:37

List Question

The eigenvalues of this symmetric Matrix

symmetric matrix , an orthonormal basis for V is $\{XD^{^{\frac{-1}{2}}}e_{1},...,XD^{^{\frac{-1}{2}}}e_{n}\}$?

Derivate of determinant for square forms

Lower bound on the minimum eigenvalue of sum of two matrices

Power method for finding all eigenvectors

Is the cone of rank-$1$ matrices convex and closed?

Symmetric Matrices with trace zero

How to find the range of $T : M_n(\Bbb{R}) \to M_n(\Bbb{R})$ given by $T(A) = A + A^t$?

Is this rank-$1$ matrix semidefinite?

What can be said about a matrix which is both symmetric and orthogonal?

Is the space of symmetric matrices generated by rank-$1$ matrices?

Why do positive definite symmetric matrices have the same singular values as eigenvalues?

Matrix notation of an ellipse.

If $A \succeq B$, is it true that $B^{-1} \succeq A^{-1}$?

Prove: if $B$ is semidefinite, then $B_{11}$ is semidefinite as well

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