Question

Is the norm of a vector given by dividing it by the square root of the inner product with itself?

score 288 · Answer 1 · 2026-04-02 17:47:37

288

Views

Is the norm of a vector given by dividing it by the square root of the inner product with itself?

Published on 02 Apr 2026 - 17:47

score 166 · Answer 2 · 2019-04-23 12:26:03

166

Views

if $ A \in R^{n \times n}$ , $A > 0$ and $ b \in R^n$ then the function $\frac{1}{2}\langle Ax,x\rangle - \langle b,x\rangle$ is convex in $R^n$

Published on 23 Apr 2019 - 12:26

score 48 · Answer 3 · 2019-04-25 11:37:58

48

Views

Define inner product on dual space.

Published on 25 Apr 2019 - 11:37

score 40 · Answer 4 · 2026-03-28 03:16:09

40

Views

Proving Cauchy-Schwartz inequality without the vanish assumption of inner products

Published on 28 Mar 2026 - 3:16

score 250 · Answer 5 · 2019-04-28 08:01:52

250

Views

Prove the eigenvectors of a reflection transformation are orthogonal

Published on 28 Apr 2019 - 8:01

score 373 · Answer 6 · 2019-04-28 16:17:22

373

Views

Is Orthogonal Projection independent of basis for any Basis?

Published on 28 Apr 2019 - 16:17

score 49 · Answer 7 · 2019-04-29 19:20:37

49

Views

For vectors in an Inner product space, would this be a valid proof for the triangle inequality?

Published on 29 Apr 2019 - 19:20

score 162 · Answer 8 · 2019-05-01 10:14:15

162

Views

Why is every scalar product equivalent to the Standard Scalar Product on $\mathbb{R}^2$

Published on 01 May 2019 - 10:14

score 78 · Answer 9 · 2026-03-27 13:56:09

78

Views

Inverse Problem for positive definite matrices

Published on 27 Mar 2026 - 13:56

score 49 · Answer 10 · 2019-05-02 21:16:54

49

Views

Ordering of inner products with constraints and matrix multiplication

Published on 02 May 2019 - 21:16

score 47 · Answer 11 · 2019-05-04 02:17:58

47

Views

Confusion about a form $<,>$ on a finite-dimensional vector space $V$ being non-degenerate on a subspace $W$

Published on 04 May 2019 - 2:17

score 1.7k · Answer 12 · 2019-05-04 11:53:04

1.7k

Views

For what values of c is ||c(1,2,3)|| = 1?

Published on 04 May 2019 - 11:53

score 5.3k · Answer 13 · 2019-05-04 12:35:06

5.3k

Views

Prove that $\|u + v\| =\|u\| + \|v\|$ if and only if $u$ and $v$ have the same direction.

Published on 04 May 2019 - 12:35

score 574 · Answer 14 · 2026-03-27 10:09:12

574

Views

Intersection and sum of closed sets and their orthogonal complements

Published on 27 Mar 2026 - 10:09

score 485 · Answer 15 · 2026-03-25 07:48:22

485

Views

Orthonormal basis of eigenvectors of a self-adjoint operator

Published on 25 Mar 2026 - 7:48

List Question

Is the norm of a vector given by dividing it by the square root of the inner product with itself?

if $ A \in R^{n \times n}$ , $A > 0$ and $ b \in R^n$ then the function $\frac{1}{2}\langle Ax,x\rangle - \langle b,x\rangle$ is convex in $R^n$

Define inner product on dual space.

Proving Cauchy-Schwartz inequality without the vanish assumption of inner products

Prove the eigenvectors of a reflection transformation are orthogonal

Is Orthogonal Projection independent of basis for any Basis?

For vectors in an Inner product space, would this be a valid proof for the triangle inequality?

Why is every scalar product equivalent to the Standard Scalar Product on $\mathbb{R}^2$

Inverse Problem for positive definite matrices

Ordering of inner products with constraints and matrix multiplication

Confusion about a form $<,>$ on a finite-dimensional vector space $V$ being non-degenerate on a subspace $W$

For what values of c is ||c(1,2,3)|| = 1?

Prove that $\|u + v\| =\|u\| + \|v\|$ if and only if $u$ and $v$ have the same direction.

Intersection and sum of closed sets and their orthogonal complements

Orthonormal basis of eigenvectors of a self-adjoint operator

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