Question

Proof involving the inequality $\sum_{i=1}^n \langle v_i, w\rangle^{2} = \|w\|^2$

score 358 · Answer 1 · 2015-11-09 03:57:35

358

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Proof involving the inequality $\sum_{i=1}^n \langle v_i, w\rangle^{2} = \|w\|^2$

Published on 09 Nov 2015 - 3:57

score 408 · Answer 2 · 2015-11-10 13:34:59

408

Views

Compute the angles between the elements of the standard basis with respect to this scalar product

Published on 10 Nov 2015 - 13:34

score 74 · Answer 3 · 2015-11-11 00:06:11

74

Views

How to prove the following assertion about Hilbert spaces.

Published on 11 Nov 2015 - 0:06

score 305 · Answer 4 · 2015-11-18 16:44:55

305

Views

How to normalize an eigenvector when it has $\sqrt{i}$ as an entry?

Published on 18 Nov 2015 - 16:44

score 806 · Answer 5 · 2015-11-20 00:18:21

806

Views

Is every hyperplane in $\mathbb{R}^n$ determined by a unique normal vector?

Published on 20 Nov 2015 - 0:18

score 69 · Answer 6 · 2026-03-28 11:59:38

69

Views

How to make an Eigenvector orthonormal?

Published on 28 Mar 2026 - 11:59

score 736 · Answer 7 · 2026-03-27 22:03:03

736

Views

How do I show that W is an orthogonal basis?

Published on 27 Mar 2026 - 22:03

score 12.8k · Answer 8 · 2015-11-25 05:27:54

12.8k

Views

Normalizing an Orthogonal Set of Vectors

Published on 25 Nov 2015 - 5:27

score 465 · Answer 9 · 2015-11-25 21:10:25

465

Views

Orthonormal Basis, Eigenvectors and Eigenvalues in $\mathbb{R}^n$

Published on 25 Nov 2015 - 21:10

score 266 · Answer 10 · 2026-03-10 07:55:57

266

Views

Unitary and non-unitary

Published on 10 Mar 2026 - 7:55

score 943 · Answer 11 · 2015-11-27 18:01:03

943

Views

Prove that a Vector Orthogonal to an Orthonormal Basis is the Zero Vector.

Published on 27 Nov 2015 - 18:01

score 1.6k · Answer 12 · 2015-11-29 15:59:32

1.6k

Views

Unique decomposition of a vector

Published on 29 Nov 2015 - 15:59

score 237 · Answer 13 · 2015-12-01 05:47:33

237

Views

Proof for $u · v = (u · w_1)(v · w_1) + ... + (u · w_n)(v · w_n)$ - Parseval's identity

Published on 01 Dec 2015 - 5:47

score 457 · Answer 14 · 2015-12-01 13:37:41

457

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Construct an Orthogonal basis for the subspace $W\subseteq R^3$. given by the following basis:

Published on 01 Dec 2015 - 13:37

score 2.4k · Answer 15 · 2015-12-02 08:08:28

2.4k

Views

Finding the least-squares solution of Ax = b when the columns of A are orthonormal.

Published on 02 Dec 2015 - 8:08

List Question

Proof involving the inequality $\sum_{i=1}^n \langle v_i, w\rangle^{2} = \|w\|^2$

Compute the angles between the elements of the standard basis with respect to this scalar product

How to prove the following assertion about Hilbert spaces.

How to normalize an eigenvector when it has $\sqrt{i}$ as an entry?

Is every hyperplane in $\mathbb{R}^n$ determined by a unique normal vector?

How to make an Eigenvector orthonormal?

How do I show that W is an orthogonal basis?

Normalizing an Orthogonal Set of Vectors

Orthonormal Basis, Eigenvectors and Eigenvalues in $\mathbb{R}^n$

Unitary and non-unitary

Prove that a Vector Orthogonal to an Orthonormal Basis is the Zero Vector.

Unique decomposition of a vector

Proof for $u · v = (u · w_1)(v · w_1) + ... + (u · w_n)(v · w_n)$ - Parseval's identity

Construct an Orthogonal basis for the subspace $W\subseteq R^3$. given by the following basis:

Finding the least-squares solution of Ax = b when the columns of A are orthonormal.

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