List questions from symmetric-matrices

Published on 25 Mar 2026 - 12:26

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When is $\|\boldsymbol A\| \|\boldsymbol A^{-1}\|$ bounded?

Published on 25 Mar 2026 - 6:00

186

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Finding other eigenvector and matrix $A$ given eigenvalues

Published on 17 Mar 2019 - 4:18

295

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Proving the difference of two matrices is PSD

Published on 25 Mar 2026 - 12:24

265

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Show that the spectral norm of one matrix is smaller than the other.

Published on 25 Mar 2026 - 1:20

58

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Explain whether this matrix is symmetric or not?

Published on 26 Mar 2026 - 12:44

660

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$XA=A^TX$ prove $X$ symmetric matrix

Published on 23 Mar 2019 - 5:52

121

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How to show that a symmetric matrix that is strictly diagonal dominant (sdd) is is positive and definite?

Published on 26 Mar 2026 - 4:53

720

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Inverse of symmetric tridiagonal block Toeplitz matrix

Published on 23 Mar 2026 - 3:46

437

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Can $\mathfrak{u}(n)$ be decomposed as direct sum of the sets of symmetric and skew-symmetric real matrices?

Published on 26 Mar 2026 - 14:22

23

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Do hermitian matrices commute when they occupy they same elements but have different values?

Published on 02 Apr 2019 - 13:12

52

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Trace of product of squared matrix and positive definite matrix is nonnegative (short exercise)

Published on 26 Mar 2026 - 7:39

165

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Integral involving matrix exponential

Published on 26 Mar 2026 - 4:29

338

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Find matrix $A$ given the matrix $X$ and that $X = AA^T$

Published on 26 Mar 2026 - 7:33

56

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Non-singularity of a certain block matrix

Published on 25 Mar 2026 - 12:46

List Question

If both $A-B$ and $B-A$ are positive semidefinite, then $A = B$

When is $\|\boldsymbol A\| \|\boldsymbol A^{-1}\|$ bounded?

Finding other eigenvector and matrix $A$ given eigenvalues

Proving the difference of two matrices is PSD

Show that the spectral norm of one matrix is smaller than the other.

Explain whether this matrix is symmetric or not?

$XA=A^TX$ prove $X$ symmetric matrix

How to show that a symmetric matrix that is strictly diagonal dominant (sdd) is is positive and definite?

Inverse of symmetric tridiagonal block Toeplitz matrix

Can $\mathfrak{u}(n)$ be decomposed as direct sum of the sets of symmetric and skew-symmetric real matrices?

Do hermitian matrices commute when they occupy they same elements but have different values?

Trace of product of squared matrix and positive definite matrix is nonnegative (short exercise)

Integral involving matrix exponential

Find matrix $A$ given the matrix $X$ and that $X = AA^T$

Non-singularity of a certain block matrix

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