List questions from svd

194

Views

Show that for any $ A\in R^{m\times n}$ the matrices $A^TA$ and $AA^T$ possess the same nonzero eigenvalues

Published on 18 Nov 2021 - 13:34

21

Views

Spectra of two different symmetrizations of the same matrix $A$

Published on 18 Nov 2021 - 19:23

1.2k

Views

Singular Value Decomposition of Symmetric Matrix

Published on 24 Nov 2021 - 22:46

214

Views

Generalization of Marchenko-Pastur law to nonzero mean random matrices with unknown variance

Published on 29 Mar 2026 - 8:21

936

Views

Find the optimal rank 1 and 10 approximation of a matrix

Published on 29 Nov 2021 - 15:13

25

Views

how to find the orthonormal vectors for Single Value Decomposition

Published on 08 Dec 2021 - 2:16

1.2k

Views

Finding best fit line using SVD

Published on 15 Dec 2021 - 15:49

150

Views

Linear Algebra: SVD problem

Published on 16 Dec 2021 - 11:43

35

Views

Linear Algebra: Prove existence of polar form for any $n\times n $ matrix

Published on 16 Dec 2021 - 14:30

160

Views

Why are the singular values non-negative?

Published on 28 Mar 2026 - 5:45

136

Views

Matrix that maximizes that trace problem

Published on 28 Mar 2026 - 5:45

106

Views

Intuition about SVD

Published on 18 Dec 2021 - 22:11

25

Views

Limitation through singular value of a matrix

Published on 28 Mar 2026 - 5:38

34

Views

SVD confusion for matrices $m\times n$ with $m>n$

Published on 21 Dec 2021 - 23:10

20

Views

Inner product of matrices bounded by sum of products of their singular values

Published on 27 Dec 2021 - 5:42

List Question

Show that for any $ A\in R^{m\times n}$ the matrices $A^TA$ and $AA^T$ possess the same nonzero eigenvalues

Spectra of two different symmetrizations of the same matrix $A$

Singular Value Decomposition of Symmetric Matrix

Generalization of Marchenko-Pastur law to nonzero mean random matrices with unknown variance

Find the optimal rank 1 and 10 approximation of a matrix

how to find the orthonormal vectors for Single Value Decomposition

Finding best fit line using SVD

Linear Algebra: SVD problem

Linear Algebra: Prove existence of polar form for any $n\times n $ matrix

Why are the singular values non-negative?

Matrix that maximizes that trace problem

Intuition about SVD

Limitation through singular value of a matrix

SVD confusion for matrices $m\times n$ with $m>n$

Inner product of matrices bounded by sum of products of their singular values

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