Question

If the columns of $U$ are orthonormal, then $UU^t y$ is the orthogonal projection of $y$ onto the column space of $U$

score 1.8k · Answer 1 · 2026-03-26 06:32:31

1.8k

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If the columns of $U$ are orthonormal, then $UU^t y$ is the orthogonal projection of $y$ onto the column space of $U$

Published on 26 Mar 2026 - 6:32

score 245 · Answer 2 · 2019-07-24 17:50:32

245

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Necessary and sufficient conditions for inner product.

Published on 24 Jul 2019 - 17:50

score 78 · Answer 3 · 2026-03-26 17:08:17

78

Views

Is the largest eigenvalue that matches an eigenvector that spans $v$ is independent of basis?

Published on 26 Mar 2026 - 17:08

score 456 · Answer 4 · 2026-03-31 09:23:35

456

Views

Is a complex inner product linear or conjugate linear in the first argument?

Published on 31 Mar 2026 - 9:23

score 112 · Answer 5 · 2026-03-26 17:07:11

112

Views

Finding the adjoint of a differentiation map

Published on 26 Mar 2026 - 17:07

score 270 · Answer 6 · 2019-07-30 11:48:18

270

Views

Is a norm on an inner product space unique?

Published on 30 Jul 2019 - 11:48

score 100 · Answer 7 · 2026-04-03 04:18:21

100

Views

Inner product from Jean-Pierre Serre representation theory book

Published on 03 Apr 2026 - 4:18

score 279 · Answer 8 · 2026-03-31 14:19:46

279

Views

Finding dot product between two vectors with constraints

Published on 31 Mar 2026 - 14:19

score 161 · Answer 9 · 2019-08-01 13:46:22

161

Views

Show that the following function is differentiable

Published on 01 Aug 2019 - 13:46

score 79 · Answer 10 · 2026-03-26 21:16:42

79

Views

Weighted Hardy space composition

Published on 26 Mar 2026 - 21:16

score 2k · Answer 11 · 2019-08-04 23:03:19

2k

Views

Does Preservation of induced Norm imply Unitarity?

Published on 04 Aug 2019 - 23:03

score 76 · Answer 12 · 2026-04-03 08:23:30

76

Views

Is the inner product of a vector space a Hermitian function?

Published on 03 Apr 2026 - 8:23

score 120 · Answer 13 · 2019-08-07 11:19:40

120

Views

$\langle v, \phi(v) \rangle = 0$ implies $\phi = 0$ for euclidean space. Proof mistake

Published on 07 Aug 2019 - 11:19

score 1.8k · Answer 14 · 2019-08-07 15:58:09

1.8k

Views

How to compute the length using the inner product?

Published on 07 Aug 2019 - 15:58

score 430 · Answer 15 · 2019-08-11 13:49:32

430

Views

Let $E$ be an inner product space and $\lim x_n = x$, $\lim y_n = y$. Is it true that $\lim \langle x_n, y_n \rangle = \langle x, y \rangle$?

Published on 11 Aug 2019 - 13:49

List Question

If the columns of $U$ are orthonormal, then $UU^t y$ is the orthogonal projection of $y$ onto the column space of $U$

Necessary and sufficient conditions for inner product.

Is the largest eigenvalue that matches an eigenvector that spans $v$ is independent of basis?

Is a complex inner product linear or conjugate linear in the first argument?

Finding the adjoint of a differentiation map

Is a norm on an inner product space unique?

Inner product from Jean-Pierre Serre representation theory book

Finding dot product between two vectors with constraints

Show that the following function is differentiable

Weighted Hardy space composition

Does Preservation of induced Norm imply Unitarity?

Is the inner product of a vector space a Hermitian function?

$\langle v, \phi(v) \rangle = 0$ implies $\phi = 0$ for euclidean space. Proof mistake

How to compute the length using the inner product?

Let $E$ be an inner product space and $\lim x_n = x$, $\lim y_n = y$. Is it true that $\lim \langle x_n, y_n \rangle = \langle x, y \rangle$?

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