Question

Inequality for the trace of two positive definite matrices

score 399 · Answer 1 · 2018-07-04 21:06:28

399

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Inequality for the trace of two positive definite matrices

Published on 04 Jul 2018 - 21:06

score 114 · Answer 2 · 2026-03-25 22:09:32

114

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Find symmetric matrix containing no 0's, given eigenvalues

Published on 25 Mar 2026 - 22:09

score 5.5k · Answer 3 · 2026-03-29 17:31:19

5.5k

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How to calculate an unknown vector from a known vector and an angle

Published on 29 Mar 2026 - 17:31

score 1.7k · Answer 4 · 2018-07-05 23:45:13

1.7k

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Prove that $T$ is a scalar multiple of the identity operator

Published on 05 Jul 2018 - 23:45

score 787 · Answer 5 · 2018-07-06 13:06:46

787

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Is it possible to find the closed form expression for the largest eigenvalue of the following matrix?

Published on 06 Jul 2018 - 13:06

score 4.4k · Answer 6 · 2026-03-25 14:50:46

4.4k

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Why does the Eigen decomposition of the covariance matrix of a point cloud give its orientation?

Published on 25 Mar 2026 - 14:50

score 137 · Answer 7 · 2026-03-25 04:42:51

137

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Interpreting the Singular Value Decomposition of $\mathbf{A}$ in Terms of the Eigendecomposition of Functions of $\mathbf{A}$

Published on 25 Mar 2026 - 4:42

score 2.1k · Answer 8 · 2026-03-25 22:05:00

2.1k

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Prove that $-1$ is an eigenvalue of an orthogonal matrix $A \in M_{4 \times 4} (\Bbb R)$ with $\det(A)=-1$

Published on 25 Mar 2026 - 22:05

score 102 · Answer 9 · 2026-03-26 02:54:37

102

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What is the eigenvalue perturbation if a row-column pair is changed?

Published on 26 Mar 2026 - 2:54

score 244 · Answer 10 · 2026-03-25 16:03:45

244

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Is there a trick to invert $I+ABA$ given a spectral decomposition of $A$ and $B$?

Published on 25 Mar 2026 - 16:03

score 248 · Answer 11 · 2026-03-25 03:01:10

248

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Closest symmetric matrix that satisfies linear inequality constraint

Published on 25 Mar 2026 - 3:01

score 423 · Answer 12 · 2026-03-26 02:56:15

423

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How do the eigenvalues of $A$ relate to $DAD$ where $A$ is symmetric and $D$ is diagonal?

Published on 26 Mar 2026 - 2:56

score 361 · Answer 13 · 2026-03-25 15:54:37

361

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Prove that two operators have a common eigenvector

Published on 25 Mar 2026 - 15:54

score 930 · Answer 14 · 2026-03-29 16:47:45

930

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Upper bound on difference between eigenvalues of two non-symmetric matrices

Published on 29 Mar 2026 - 16:47

score 197 · Answer 15 · 2026-03-31 06:17:08

197

Views

Example 5.37 (Eigenspace) of Linear Algebra Done Right, by Sheldon Axler

Published on 31 Mar 2026 - 6:17

List Question

Inequality for the trace of two positive definite matrices

Find symmetric matrix containing no 0's, given eigenvalues

How to calculate an unknown vector from a known vector and an angle

Prove that $T$ is a scalar multiple of the identity operator

Is it possible to find the closed form expression for the largest eigenvalue of the following matrix?

Why does the Eigen decomposition of the covariance matrix of a point cloud give its orientation?

Interpreting the Singular Value Decomposition of $\mathbf{A}$ in Terms of the Eigendecomposition of Functions of $\mathbf{A}$

Prove that $-1$ is an eigenvalue of an orthogonal matrix $A \in M_{4 \times 4} (\Bbb R)$ with $\det(A)=-1$

What is the eigenvalue perturbation if a row-column pair is changed?

Is there a trick to invert $I+ABA$ given a spectral decomposition of $A$ and $B$?

Closest symmetric matrix that satisfies linear inequality constraint

How do the eigenvalues of $A$ relate to $DAD$ where $A$ is symmetric and $D$ is diagonal?

Prove that two operators have a common eigenvector

Upper bound on difference between eigenvalues of two non-symmetric matrices

Example 5.37 (Eigenspace) of Linear Algebra Done Right, by Sheldon Axler

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