Question

inner product vector space Book?

score 202 · Answer 1 · 2026-03-28 07:05:13

202

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inner product vector space Book?

Published on 28 Mar 2026 - 7:05

score 286 · Answer 2 · 2026-03-27 11:49:08

286

Views

Is there an elegant way to define orthogonality (and/or angles) without inner products, metrics, or norms?

Published on 27 Mar 2026 - 11:49

score 1.4k · Answer 3 · 2019-05-05 12:39:19

1.4k

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Prove that the set $W^{\perp}$ is a subspace of $V$ and use this to find $W^{\perp}$ when $W$ is the span of $(1,2,3)$ in $V=\mathbb{R}^{3}$

Published on 05 May 2019 - 12:39

score 344 · Answer 4 · 2026-04-02 20:54:26

344

Views

$l_p : (p≠2)$ is not an inner product.

Published on 02 Apr 2026 - 20:54

score 168 · Answer 5 · 2026-03-29 20:21:45

168

Views

Is the integral of the product of two real-valued functions an inner product for every kind of integral?

Published on 29 Mar 2026 - 20:21

score 50 · Answer 6 · 2019-05-06 10:25:06

50

Views

If {$u_{i}$} is an orthonormal basis, then $proj_{s}v = ( v\cdot u_{1} )u_{1} +\cdots+ ( v\cdot u_{t} )u_{t}$

Published on 06 May 2019 - 10:25

score 59 · Answer 7 · 2019-05-06 11:03:44

59

Views

Proof: If $\mathbb{R}^{n}=S_{1}\bigoplus S_{2}$ then $S_{1}\bigcap S_{2}=\left \{ \mathbf{0}\right \}$

Published on 06 May 2019 - 11:03

score 428 · Answer 8 · 2019-05-07 16:00:53

428

Views

Find the matrix of inner product space with orthonormal basis

Published on 07 May 2019 - 16:00

score 941 · Answer 9 · 2026-03-25 10:55:25

941

Views

Are all (real) inner products symmetric bilinear forms?

Published on 25 Mar 2026 - 10:55

score 47 · Answer 10 · 2026-03-26 02:55:09

47

Views

Write $(-1,1,2,2)^T$ in terms of the basis $U$

Published on 26 Mar 2026 - 2:55

score 84 · Answer 11 · 2019-05-10 08:45:16

84

Views

Inner Product & Linear Map property (from Linear Algebra Done Right, 7C question 4)

Published on 10 May 2019 - 8:45

score 250 · Answer 12 · 2026-03-30 00:05:20

250

Views

Does the inner product of a matrix, $\frac{x^TAy}{x^Ty}$ stay the same or fall in a range for any x,y?

Published on 30 Mar 2026 - 0:05

score 49 · Answer 13 · 2026-03-26 02:55:02

49

Views

Inner product that makes vectors an orthonormal basis

Published on 26 Mar 2026 - 2:55

score 71 · Answer 14 · 2026-03-27 11:46:13

71

Views

Orthogonal Projection and Inner Product Space

Published on 27 Mar 2026 - 11:46

score 21 · Answer 15 · 2019-05-12 08:41:53

21

Views

Inner products of of two vectors which are both orthogonal to a third vector.

Published on 12 May 2019 - 8:41

List Question

inner product vector space Book?

Is there an elegant way to define orthogonality (and/or angles) without inner products, metrics, or norms?

Prove that the set $W^{\perp}$ is a subspace of $V$ and use this to find $W^{\perp}$ when $W$ is the span of $(1,2,3)$ in $V=\mathbb{R}^{3}$

$l_p : (p≠2)$ is not an inner product.

Is the integral of the product of two real-valued functions an inner product for every kind of integral?

If {$u_{i}$} is an orthonormal basis, then $proj_{s}v = ( v\cdot u_{1} )u_{1} +\cdots+ ( v\cdot u_{t} )u_{t}$

Proof: If $\mathbb{R}^{n}=S_{1}\bigoplus S_{2}$ then $S_{1}\bigcap S_{2}=\left \{ \mathbf{0}\right \}$

Find the matrix of inner product space with orthonormal basis

Are all (real) inner products symmetric bilinear forms?

Write $(-1,1,2,2)^T$ in terms of the basis $U$

Inner Product & Linear Map property (from Linear Algebra Done Right, 7C question 4)

Does the inner product of a matrix, $\frac{x^TAy}{x^Ty}$ stay the same or fall in a range for any x,y?

Inner product that makes vectors an orthonormal basis

Orthogonal Projection and Inner Product Space

Inner products of of two vectors which are both orthogonal to a third vector.

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