Question

$\langle x,y \rangle (\lVert x \rVert + \lVert y \rVert) \leq \lVert x \rVert \lVert y \rVert \lVert x+y \rVert$

score 145 · Answer 1 · 2026-04-16 10:06:05

145

Views

$\langle x,y \rangle (\lVert x \rVert + \lVert y \rVert) \leq \lVert x \rVert \lVert y \rVert \lVert x+y \rVert$

Published on 16 Apr 2026 - 10:06

score 31 · Answer 2 · 2026-04-16 02:40:44

31

Views

The standard inner product for $f(x,t),g(x,t) \in L^2([a,b]\times[c,d])$

Published on 16 Apr 2026 - 2:40

score 93 · Answer 3 · 2026-04-16 02:44:31

93

Views

Trouble simplifying the follow expression of a squared norm: $\Bigl\lVert\frac{\langle u,v \rangle}{\lVert v \rVert} v \Bigr\rVert ^2$

Published on 16 Apr 2026 - 2:44

score 239 · Answer 4 · 2026-04-16 07:49:24

239

Views

Confused by the Positivity property of an Inner Product when the field is $\mathbb C$ - Attempted Proof

Published on 16 Apr 2026 - 7:49

score 235 · Answer 5 · 2026-04-12 19:06:25

235

Views

Optimizing over Unitary matrices

Published on 12 Apr 2026 - 19:06

score 168 · Answer 6 · 2026-04-16 13:33:50

168

Views

Determine if the following is an inner product on the given vector space:

Published on 16 Apr 2026 - 13:33

score 49 · Answer 7 · 2026-04-11 17:21:36

49

Views

Orthogonal Eigenbasis Proof Help

Published on 11 Apr 2026 - 17:21

score 420 · Answer 8 · 2026-04-12 21:55:10

420

Views

Need help to prove an identity for inner product space

Published on 12 Apr 2026 - 21:55

score 43 · Answer 9 · 2026-04-15 09:42:02

43

Views

Trouble with the Gram-Schmidt Orthogonalization Derivation

Published on 15 Apr 2026 - 9:42

score 80 · Answer 10 · 2026-04-14 17:53:10

80

Views

Minimise $\sum \left\lvert x_j \right\rvert^2 + \sum \left\lvert y_j \right\rvert^2$ subject to the constraints $\sum x_j = 1$ and $\sum y_j = 0$.

Published on 14 Apr 2026 - 17:53

score 149 · Answer 11 · 2026-04-14 21:30:57

149

Views

Showing a vector space is not an inner product

Published on 14 Apr 2026 - 21:30

score 261 · Answer 12 · 2026-04-10 22:55:20

261

Views

An inner product on $\mathcal{C}[a,b]$

Published on 10 Apr 2026 - 22:55

score 181 · Answer 13 · 2026-04-11 00:40:14

181

Views

Gram Schmidt process for defined polynomials

Published on 11 Apr 2026 - 0:40

score 122 · Answer 14 · 2026-04-11 16:27:39

122

Views

Geometric Motivation for Inner Product

Published on 11 Apr 2026 - 16:27

score 93 · Answer 15 · 2026-04-14 00:08:51

93

Views

Solving a system of Vector Equations involving dot and cross products

Published on 14 Apr 2026 - 0:08

List Question

$\langle x,y \rangle (\lVert x \rVert + \lVert y \rVert) \leq \lVert x \rVert \lVert y \rVert \lVert x+y \rVert$

The standard inner product for $f(x,t),g(x,t) \in L^2([a,b]\times[c,d])$

Trouble simplifying the follow expression of a squared norm: $\Bigl\lVert\frac{\langle u,v \rangle}{\lVert v \rVert} v \Bigr\rVert ^2$

Confused by the Positivity property of an Inner Product when the field is $\mathbb C$ - Attempted Proof

Optimizing over Unitary matrices

Determine if the following is an inner product on the given vector space:

Orthogonal Eigenbasis Proof Help

Need help to prove an identity for inner product space

Trouble with the Gram-Schmidt Orthogonalization Derivation

Minimise $\sum \left\lvert x_j \right\rvert^2 + \sum \left\lvert y_j \right\rvert^2$ subject to the constraints $\sum x_j = 1$ and $\sum y_j = 0$.

Showing a vector space is not an inner product

An inner product on $\mathcal{C}[a,b]$

Gram Schmidt process for defined polynomials

Geometric Motivation for Inner Product

Solving a system of Vector Equations involving dot and cross products

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