Question

Let $U$ be orthogonal. How can I prove that $||UA||_2=||A||_2$?

score 48 · Answer 1 · 2020-06-14 21:33:17

48

Views

Let $U$ be orthogonal. How can I prove that $||UA||_2=||A||_2$?

Published on 14 Jun 2020 - 21:33

score 51 · Answer 2 · 2020-06-18 15:04:30

51

Views

Show that this is an infinite orthonormal set

Published on 18 Jun 2020 - 15:04

score 116 · Answer 3 · 2020-06-19 17:01:33

116

Views

Pythagorean theorem for finite inner product space

Published on 19 Jun 2020 - 17:01

score 487 · Answer 4 · 2020-06-20 15:37:39

487

Views

Composition of orthogonal projections, $P_1 P_2 = P_2 P_1 \rightarrow P_1 P_2$ is the orthogonal projection on $W_1 \cap W_2$

Published on 20 Jun 2020 - 15:37

score 49 · Answer 5 · 2020-06-21 06:11:46

49

Views

Project orthonormal vectors onto subspace while preserving orthonormality

Published on 21 Jun 2020 - 6:11

score 57 · Answer 6 · 2026-03-25 11:12:11

57

Views

Confused regarding the Gram-Schmidt Theorem.

Published on 25 Mar 2026 - 11:12

score 135 · Answer 7 · 2020-06-22 11:00:18

135

Views

Hilbert space: Find an orthonormal basis of $V$.

Published on 22 Jun 2020 - 11:00

score 296 · Answer 8 · 2020-06-27 07:26:29

296

Views

Reducing to its canonical form a quadratic form

Published on 27 Jun 2020 - 7:26

score 86 · Answer 9 · 2020-07-01 18:33:03

86

Views

Measurable (or continuous) orthonormal basis in a Hilbert space

Published on 01 Jul 2020 - 18:33

score 276 · Answer 10 · 2020-07-01 19:37:21

276

Views

if $AA^$ = $A + A^$ then $A$ is normal

Published on 01 Jul 2020 - 19:37

score 69 · Answer 11 · 2020-07-03 13:56:40

69

Views

Orthonormal basis with 3 vectors

Published on 03 Jul 2020 - 13:56

score 462 · Answer 12 · 2020-07-05 21:52:44

462

Views

Calculate the distance $d$ from $\vec{y}$ to the straight line through $\vec{u}$ and the origin

Published on 05 Jul 2020 - 21:52

score 156 · Answer 13 · 2026-03-26 09:26:20

156

Views

How do you use the column orthogonal relation to complete a character table?

Published on 26 Mar 2026 - 9:26

score 378 · Answer 14 · 2026-03-25 11:10:14

378

Views

transform the basis vectors into an orthonormal basis.

Published on 25 Mar 2026 - 11:10

score 2.4k · Answer 15 · 2016-07-08 17:03:57

2.4k

Views

Can the product of two orthonormal matrices be an orthonormal matrix?

Published on 08 Jul 2016 - 17:03

List Question

Let $U$ be orthogonal. How can I prove that $||UA||_2=||A||_2$?

Show that this is an infinite orthonormal set

Pythagorean theorem for finite inner product space

Composition of orthogonal projections, $P_1 P_2 = P_2 P_1 \rightarrow P_1 P_2$ is the orthogonal projection on $W_1 \cap W_2$

Project orthonormal vectors onto subspace while preserving orthonormality

Confused regarding the Gram-Schmidt Theorem.

Hilbert space: Find an orthonormal basis of $V$.

Reducing to its canonical form a quadratic form

Measurable (or continuous) orthonormal basis in a Hilbert space

if $AA^$ = $A + A^$ then $A$ is normal

Orthonormal basis with 3 vectors

Calculate the distance $d$ from $\vec{y}$ to the straight line through $\vec{u}$ and the origin

How do you use the column orthogonal relation to complete a character table?

transform the basis vectors into an orthonormal basis.

Can the product of two orthonormal matrices be an orthonormal matrix?

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