Question

Can $f(x,z) = x^Tx + \sum\limits_{i = 1}^n \dfrac{x_ix_i}{z_i}$ be written with multiple inner products at the same time?

score 96 · Answer 1 · 2026-04-16 13:14:21

96

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Can $f(x,z) = x^Tx + \sum\limits_{i = 1}^n \dfrac{x_ix_i}{z_i}$ be written with multiple inner products at the same time?

Published on 16 Apr 2026 - 13:14

score 304 · Answer 2 · 2026-04-11 22:36:34

304

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Relation between positive definite Hermitian matrices with their inverses

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score 42 · Answer 3 · 2026-04-11 00:40:40

42

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27.1k

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57k

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Double dot product vs double inner product

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score 170 · Answer 6 · 2026-04-11 04:04:28

170

Views

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score 168 · Answer 7 · 2026-04-16 00:36:14

168

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Inner product? Yes or no?

Published on 16 Apr 2026 - 0:36

score 6.9k · Answer 8 · 2026-04-09 13:03:01

6.9k

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score 3.5k · Answer 9 · 2026-04-16 00:36:10

3.5k

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score 371 · Answer 10 · 2026-04-12 12:07:35

371

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summing two different orthogonal complements

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score 2.3k · Answer 11 · 2026-04-17 11:19:27

2.3k

Views

True or False: Every finite dimensional vector space can made into an inner product space with the same dimension.

Published on 17 Apr 2026 - 11:19

score 761 · Answer 12 · 2026-04-11 18:31:06

761

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How do inner product space determine half planes?

Published on 11 Apr 2026 - 18:31

score 3.1k · Answer 13 · 2026-04-15 03:13:35

3.1k

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Published on 15 Apr 2026 - 3:13

score 3.9k · Answer 14 · 2026-04-12 10:45:27

3.9k

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Published on 12 Apr 2026 - 10:45

score 95 · Answer 15 · 2026-04-15 19:04:40

95

Views

Prove that if $y=(y_1, \ldots, y_n)$ is such that $y_1a_1 + \cdots + y_na_n = 0$, then $∀x ∈ \mathbb{R}^n$, $Ax · y = 0$

Published on 15 Apr 2026 - 19:04

List Question

Can $f(x,z) = x^Tx + \sum\limits_{i = 1}^n \dfrac{x_ix_i}{z_i}$ be written with multiple inner products at the same time?

Relation between positive definite Hermitian matrices with their inverses

Clarification with a identity

Dot Product Intuition

Double dot product vs double inner product

Self-adjoint operator in the space of twice continuously differentiable functions

Inner product? Yes or no?

Isomorphisms of inner-product spaces

Inner product for a finite dimensional vector space

summing two different orthogonal complements

True or False: Every finite dimensional vector space can made into an inner product space with the same dimension.

How do inner product space determine half planes?

Special orthogonal matrices have orthogonal square roots

Finding all $\alpha$ such that a matrix is positive definite

Prove that if $y=(y_1, \ldots, y_n)$ is such that $y_1a_1 + \cdots + y_na_n = 0$, then $∀x ∈ \mathbb{R}^n$, $Ax · y = 0$

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