Question

Few basic things unclear to me about inner product spaces and orthonormal basis

score 104 · Answer 1 · 2014-06-20 12:24:36

104

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Few basic things unclear to me about inner product spaces and orthonormal basis

Published on 20 Jun 2014 - 12:24

score 37 · Answer 2 · 2014-06-20 12:57:58

37

Views

Why do we have $\Vert y_n\Vert^2=\langle x;y_n\rangle$

Published on 20 Jun 2014 - 12:57

score 50 · Answer 3 · 2014-06-22 07:29:57

50

Views

Inner product with the given property and vector distance problem

Published on 22 Jun 2014 - 7:29

score 599 · Answer 4 · 2014-06-24 12:55:42

599

Views

Bessel-like inequality

Published on 24 Jun 2014 - 12:55

score 134 · Answer 5 · 2014-06-29 14:00:29

134

Views

Express Norm Using Inner Product

Published on 29 Jun 2014 - 14:00

score 198 · Answer 6 · 2014-07-02 18:50:08

198

Views

Show that $\langle x, Ax \rangle + \langle b, x \rangle = c$ can be transformed to $\langle x', Ax' \rangle = 1$

Published on 02 Jul 2014 - 18:50

score 85.3k · Answer 7 · 2026-03-28 03:34:41

85.3k

Views

How to find orthogonal projection of vector on a subspace?

Published on 28 Mar 2026 - 3:34

score 262 · Answer 8 · 2026-03-30 23:55:43

262

Views

Area preserving transformation in a higher dimensional space is unitary.

Published on 30 Mar 2026 - 23:55

score 1.6k · Answer 9 · 2014-07-14 00:44:46

1.6k

Views

Rigid motion on $\mathbb{R}^2$ which fixes the origin is linear

Published on 14 Jul 2014 - 0:44

score 79 · Answer 10 · 2014-07-14 15:49:43

79

Views

Why $\langle a,x\rangle = \langle b,x\rangle,\forall x\in X\implies a=b$

Published on 14 Jul 2014 - 15:49

score 5.6k · Answer 11 · 2014-07-15 13:34:04

5.6k

Views

Is a norm on $R^n$ linear?

Published on 15 Jul 2014 - 13:34

score 84 · Answer 12 · 2014-07-16 10:01:00

84

Views

A question on linearity of inner product

Published on 16 Jul 2014 - 10:01

score 952 · Answer 13 · 2014-07-16 13:04:22

952

Views

weighted inner product of polynomials, can weight function be complex?

Published on 16 Jul 2014 - 13:04

score 287 · Answer 14 · 2026-03-26 23:10:51

287

Views

Prove the inequality $\sum_{i,j = 1}^n {{A_{i,j}}({x_i}^2 - {x_i}{x_j})} \ge 0 $

Published on 26 Mar 2026 - 23:10

score 171 · Answer 15 · 2014-07-22 04:58:09

171

Views

The inner product determines the structure of the space

Published on 22 Jul 2014 - 4:58

List Question

Few basic things unclear to me about inner product spaces and orthonormal basis

Why do we have $\Vert y_n\Vert^2=\langle x;y_n\rangle$

Inner product with the given property and vector distance problem

Bessel-like inequality

Express Norm Using Inner Product

Show that $\langle x, Ax \rangle + \langle b, x \rangle = c$ can be transformed to $\langle x', Ax' \rangle = 1$

How to find orthogonal projection of vector on a subspace?

Area preserving transformation in a higher dimensional space is unitary.

Rigid motion on $\mathbb{R}^2$ which fixes the origin is linear

Why $\langle a,x\rangle = \langle b,x\rangle,\forall x\in X\implies a=b$

Is a norm on $R^n$ linear?

A question on linearity of inner product

weighted inner product of polynomials, can weight function be complex?

Prove the inequality $\sum_{i,j = 1}^n {{A_{i,j}}({x_i}^2 - {x_i}{x_j})} \ge 0 $

The inner product determines the structure of the space

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