Question

If $U^T U = I_k$, $V^T V = I_{d-k}$, and $U^T V \approx 0$, is $U U^T + V V^T \approx I_d$?

score 81 · Answer 1 · 2021-01-02 03:24:10

81

Views

If $U^T U = I_k$, $V^T V = I_{d-k}$, and $U^T V \approx 0$, is $U U^T + V V^T \approx I_d$?

Published on 02 Jan 2021 - 3:24

score 251 · Answer 2 · 2026-03-31 01:25:04

251

Views

Determining whether the set of eigenvectors form an orthonormal basis

Published on 31 Mar 2026 - 1:25

score 236 · Answer 3 · 2021-01-08 10:15:34

236

Views

Why use Transpose notation in standart basis vectors unit length equation?

Published on 08 Jan 2021 - 10:15

score 59 · Answer 4 · 2021-01-09 15:31:04

59

Views

Proves with $K\subset L^{2}(\mathbb{R})$

Published on 09 Jan 2021 - 15:31

score 311 · Answer 5 · 2021-01-12 14:04:05

311

Views

Determining the orthogonal projection a subset of $L^2(\mathbb{R})$

Published on 12 Jan 2021 - 14:04

score 216 · Answer 6 · 2021-01-15 08:08:17

216

Views

Difference in application between orthonormal basis vs orthogonal basis

Published on 15 Jan 2021 - 8:08

score 25 · Answer 7 · 2021-01-16 18:31:35

25

Views

How to calculate this sum using orthonormal closed system?

Published on 16 Jan 2021 - 18:31

score 273 · Answer 8 · 2021-01-19 00:28:36

273

Views

Principal normal vector of a parabolic path is not orthogonal

Published on 19 Jan 2021 - 0:28

score 45 · Answer 9 · 2021-01-19 03:51:33

45

Views

Prove, if $L$ real symmetric matrix over $S$, then $M(L)$ representing $L$ with base change over an orthonormal base of $S$ is also symmetric

Published on 19 Jan 2021 - 3:51

score 133 · Answer 10 · 2021-01-20 17:56:36

133

Views

Does there always exist such orthonormal basis in $R^3$ that all the three vectors lie in one coordinate octant?

Published on 20 Jan 2021 - 17:56

score 108 · Answer 11 · 2026-03-30 12:45:27

108

Views

Prove that $A^T \cdot A$ equal $I$ for an orthonormal matrix $A$ directly using matrix multiplication

Published on 30 Mar 2026 - 12:45

score 67 · Answer 12 · 2021-01-24 00:10:07

67

Views

Find a SVD of $A=u_1v_1^\intercal +2u_2v_2^\intercal +3u_3v_3^\intercal$

Published on 24 Jan 2021 - 0:10

score 34 · Answer 13 · 2021-01-26 17:15:10

34

Views

Stuck on an exercise regarding orthonormal bases.

Published on 26 Jan 2021 - 17:15

score 68 · Answer 14 · 2021-01-28 18:54:40

68

Views

Linear transformation and orthonormal basis

Published on 28 Jan 2021 - 18:54

score 258 · Answer 15 · 2026-03-25 16:05:12

258

Views

Constant orthonormal frame

Published on 25 Mar 2026 - 16:05

List Question

If $U^T U = I_k$, $V^T V = I_{d-k}$, and $U^T V \approx 0$, is $U U^T + V V^T \approx I_d$?

Determining whether the set of eigenvectors form an orthonormal basis

Why use Transpose notation in standart basis vectors unit length equation?

Proves with $K\subset L^{2}(\mathbb{R})$

Determining the orthogonal projection a subset of $L^2(\mathbb{R})$

Difference in application between orthonormal basis vs orthogonal basis

How to calculate this sum using orthonormal closed system?

Principal normal vector of a parabolic path is not orthogonal

Prove, if $L$ real symmetric matrix over $S$, then $M(L)$ representing $L$ with base change over an orthonormal base of $S$ is also symmetric

Does there always exist such orthonormal basis in $R^3$ that all the three vectors lie in one coordinate octant?

Prove that $A^T \cdot A$ equal $I$ for an orthonormal matrix $A$ directly using matrix multiplication

Find a SVD of $A=u_1v_1^\intercal +2u_2v_2^\intercal +3u_3v_3^\intercal$

Stuck on an exercise regarding orthonormal bases.

Linear transformation and orthonormal basis

Constant orthonormal frame

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