Question

Let $x$ be an eigenvector of $A.$ Is it true that if $x^{\perp}$ is invariant under $A,$ then $A$ is normal?

score 99 · Answer 1 · 2020-06-11 18:48:27

99

Views

Let $x$ be an eigenvector of $A.$ Is it true that if $x^{\perp}$ is invariant under $A,$ then $A$ is normal?

Published on 11 Jun 2020 - 18:48

score 395 · Answer 2 · 2020-06-11 23:56:29

395

Views

Convergence in inner product spaces

Published on 11 Jun 2020 - 23:56

score 124 · Answer 3 · 2026-03-27 13:45:29

124

Views

Projection matrix orthogonalization

Published on 27 Mar 2026 - 13:45

score 58 · Answer 4 · 2020-06-12 20:23:21

58

Views

Inner product in a Vector Space

Published on 12 Jun 2020 - 20:23

score 54 · Answer 5 · 2026-03-25 19:03:10

54

Views

Prove that $v = 0 \iff v + iT(v) = 0$ for a self adjoint operator

Published on 25 Mar 2026 - 19:03

score 413 · Answer 6 · 2020-06-14 04:27:56

413

Views

Find all inner products on $\mathbb{R^2}$

Published on 14 Jun 2020 - 4:27

score 385 · Answer 7 · 2020-06-14 13:44:22

385

Views

A noncomplete inner product space may have a nonempty closed convex subset which does not have a unique element of minimal norm

Published on 14 Jun 2020 - 13:44

score 33 · Answer 8 · 2020-06-15 05:56:36

33

Views

Inner product given by its orthonormal basis

Published on 15 Jun 2020 - 5:56

score 307 · Answer 9 · 2020-06-15 13:58:03

307

Views

Is it correct that $ \left(U\cap W\right)^{\perp}=U^{\perp}+W^{\perp} $ with the following conditions?

Published on 15 Jun 2020 - 13:58

score 66 · Answer 10 · 2020-06-16 13:33:27

66

Views

Norm that comes from inner product and quadratic function

Published on 16 Jun 2020 - 13:33

score 554 · Answer 11 · 2026-03-26 02:50:13

554

Views

How does multiplication work when a 3D array is dotted with a 1D array?

Published on 26 Mar 2026 - 2:50

score 542 · Answer 12 · 2026-03-30 05:32:01

542

Views

How to Prove this Cauchy-Schwarz Inequality for Matrices?

Published on 30 Mar 2026 - 5:32

score 52 · Answer 13 · 2026-03-27 15:17:49

52

Views

Show that this is an infinite orthonormal set

Published on 27 Mar 2026 - 15:17

score 44 · Answer 14 · 2026-03-26 04:36:41

44

Views

Are inner products functions and in the context of neural network input inner products, it is actually many inner products?

Published on 26 Mar 2026 - 4:36

score 37 · Answer 15 · 2026-03-25 23:38:31

37

Views

find the hermitian operator of an operator which attaches a matrix and its iverted

Published on 25 Mar 2026 - 23:38

List Question

Let $x$ be an eigenvector of $A.$ Is it true that if $x^{\perp}$ is invariant under $A,$ then $A$ is normal?

Convergence in inner product spaces

Projection matrix orthogonalization

Inner product in a Vector Space

Prove that $v = 0 \iff v + iT(v) = 0$ for a self adjoint operator

Find all inner products on $\mathbb{R^2}$

A noncomplete inner product space may have a nonempty closed convex subset which does not have a unique element of minimal norm

Inner product given by its orthonormal basis

Is it correct that $ \left(U\cap W\right)^{\perp}=U^{\perp}+W^{\perp} $ with the following conditions?

Norm that comes from inner product and quadratic function

How does multiplication work when a 3D array is dotted with a 1D array?

How to Prove this Cauchy-Schwarz Inequality for Matrices?

Show that this is an infinite orthonormal set

Are inner products functions and in the context of neural network input inner products, it is actually many inner products?

find the hermitian operator of an operator which attaches a matrix and its iverted

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