Question

Is this relation true for orthonormal matrices elements?

score 72 · Answer 1 · 2020-10-28 07:49:36

72

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Is this relation true for orthonormal matrices elements?

Published on 28 Oct 2020 - 7:49

score 393 · Answer 2 · 2020-10-29 05:39:22

393

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Prove that $UV^T$ is the nearest orthogonal matrix to $A$ given $||A||=\max_{x\neq 0}\dfrac{||Ax||}{||x||}=\sigma_1$

Published on 29 Oct 2020 - 5:39

score 855 · Answer 3 · 2020-10-29 15:06:10

855

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In $A = QR$ factorization do we need basis vectors from the left null space?

Published on 29 Oct 2020 - 15:06

score 34 · Answer 4 · 2020-10-30 23:23:38

34

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Characterization of A based on a decomposition of AA^t in terms of orthogonal matrices and a diagonal matrix.

Published on 30 Oct 2020 - 23:23

score 30 · Answer 5 · 2020-11-03 14:00:38

30

Views

How to understand $P^B_{B'}$ an orthogonal matrix

Published on 03 Nov 2020 - 14:00

score 286 · Answer 6 · 2020-11-06 03:19:31

286

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Orthogonal Linear Transformation of Subspace

Published on 06 Nov 2020 - 3:19

score 52 · Answer 7 · 2020-11-06 18:36:52

52

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What is the dimension of span of a vector orthogonal to 'n' linearly independent vectors?

Published on 06 Nov 2020 - 18:36

score 92 · Answer 8 · 2026-03-26 21:25:47

92

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$(I-B)^{-1} (I+B)$ always orthogonal if $B$ anti-symmetric

Published on 26 Mar 2026 - 21:25

score 163 · Answer 9 · 2020-11-17 14:29:43

163

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Matrix factorization with a semi-orthogonality constraint

Published on 17 Nov 2020 - 14:29

score 52 · Answer 10 · 2020-11-18 11:44:23

52

Views

O(2) equivariant isomorphism between harmonic polynomials and $\mathbb{C}^2$

Published on 18 Nov 2020 - 11:44

score 85 · Answer 11 · 2026-03-28 18:12:49

85

Views

Matrix Determinant Formula

Published on 28 Mar 2026 - 18:12

score 55 · Answer 12 · 2020-11-19 05:23:50

55

Views

Does $\sum_i e_i \otimes e_i$ in $V\otimes V$ have a name?

Published on 19 Nov 2020 - 5:23

score 42 · Answer 13 · 2026-03-27 17:23:50

42

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Behaviour of orthogonal matrices

Published on 27 Mar 2026 - 17:23

score 1.2k · Answer 14 · 2020-11-21 21:03:53

1.2k

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The number of operations appear in the multiplication of two upper triangular matrices

Published on 21 Nov 2020 - 21:03

score 102 · Answer 15 · 2020-11-23 21:30:33

102

Views

Prove or disprove the 2 norm for any column of an orthogonal matrix is smaller or equal to 1

Published on 23 Nov 2020 - 21:30

List Question

Is this relation true for orthonormal matrices elements?

Prove that $UV^T$ is the nearest orthogonal matrix to $A$ given $||A||=\max_{x\neq 0}\dfrac{||Ax||}{||x||}=\sigma_1$

In $A = QR$ factorization do we need basis vectors from the left null space?

Characterization of A based on a decomposition of AA^t in terms of orthogonal matrices and a diagonal matrix.

How to understand $P^B_{B'}$ an orthogonal matrix

Orthogonal Linear Transformation of Subspace

What is the dimension of span of a vector orthogonal to 'n' linearly independent vectors?

$(I-B)^{-1} (I+B)$ always orthogonal if $B$ anti-symmetric

Matrix factorization with a semi-orthogonality constraint

O(2) equivariant isomorphism between harmonic polynomials and $\mathbb{C}^2$

Matrix Determinant Formula

Does $\sum_i e_i \otimes e_i$ in $V\otimes V$ have a name?

Behaviour of orthogonal matrices

The number of operations appear in the multiplication of two upper triangular matrices

Prove or disprove the 2 norm for any column of an orthogonal matrix is smaller or equal to 1

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