Question

Proof inner-product on square-integrable products is always well defined?

score 211 · Answer 1 · 2026-04-07 03:57:01

211

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Proof inner-product on square-integrable products is always well defined?

Published on 07 Apr 2026 - 3:57

score 1k · Answer 2 · 2026-03-26 14:33:22

1k

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Isometry on inner product space

Published on 26 Mar 2026 - 14:33

score 102 · Answer 3 · 2020-07-16 19:46:17

102

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Suppose $x,y \in V$ are vectors such that $\lVert x\rVert=\lVert y\rVert=1$ and $\langle x,y\rangle=1$. Show $x=y$

Published on 16 Jul 2020 - 19:46

score 96 · Answer 4 · 2026-03-30 05:13:56

96

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2 questions in text of Lesson : Inner Product spaces of Hoffman Kunze Linear Algebra( Related to Orthogonality)

Published on 30 Mar 2026 - 5:13

score 128 · Answer 5 · 2026-03-25 22:06:32

128

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Question about the proof of Theorem 14 of Hoffman and Kunze

Published on 25 Mar 2026 - 22:06

score 89 · Answer 6 · 2020-07-18 04:21:52

89

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2 questions in Theorem 5 of Hoffman Kunze Linear Algebra

Published on 18 Jul 2020 - 4:21

score 110 · Answer 7 · 2026-03-30 11:04:10

110

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1 question in Theorem 10 of section Spectral Theory of Hoffman Kunze

Published on 30 Mar 2026 - 11:04

score 27 · Answer 8 · 2020-07-19 18:15:37

27

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Find a basis $ {\{b_1,\cdots, b_n}\} $ of $ \mathbb{C}^n $ such that $ \langle b_j, b_k \rangle = 1 $ whenever $ j \neq k $

Published on 19 Jul 2020 - 18:15

score 37 · Answer 9 · 2026-04-07 18:27:32

37

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Explanation of a scalar product calculation

Published on 07 Apr 2026 - 18:27

score 405 · Answer 10 · 2026-03-28 15:18:37

405

Views

Definition for Hermitian inner product?

Published on 28 Mar 2026 - 15:18

score 129 · Answer 11 · 2020-07-22 02:41:29

129

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Given a basis $\mathcal{B}$, can I assume that $\mathcal{B}$ is orthonormal?

Published on 22 Jul 2020 - 2:41

score 78 · Answer 12 · 2026-04-02 03:40:47

78

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Let $A,B\in M_n (\mathbb R), \lambda\in \sigma(B), \alpha \in \sigma (B)$ and $<x,y>$ be inner product show $<Ax+By,x>=\lambda||x||^2+\alpha<x,y>$

Published on 02 Apr 2026 - 3:40

score 127 · Answer 13 · 2026-03-26 22:57:58

127

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Division of Positive Definite Matrix - Inner Product Space

Published on 26 Mar 2026 - 22:57

score 378 · Answer 14 · 2026-03-25 11:10:14

378

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transform the basis vectors into an orthonormal basis.

Published on 25 Mar 2026 - 11:10

score 64 · Answer 15 · 2026-04-05 19:03:29

64

Views

Do all inner products on $\Bbb R^n$ are equivalent?

Published on 05 Apr 2026 - 19:03

List Question

Proof inner-product on square-integrable products is always well defined?

Isometry on inner product space

Suppose $x,y \in V$ are vectors such that $\lVert x\rVert=\lVert y\rVert=1$ and $\langle x,y\rangle=1$. Show $x=y$

2 questions in text of Lesson : Inner Product spaces of Hoffman Kunze Linear Algebra( Related to Orthogonality)

Question about the proof of Theorem 14 of Hoffman and Kunze

2 questions in Theorem 5 of Hoffman Kunze Linear Algebra

1 question in Theorem 10 of section Spectral Theory of Hoffman Kunze

Find a basis $ {\{b_1,\cdots, b_n}\} $ of $ \mathbb{C}^n $ such that $ \langle b_j, b_k \rangle = 1 $ whenever $ j \neq k $

Explanation of a scalar product calculation

Definition for Hermitian inner product?

Given a basis $\mathcal{B}$, can I assume that $\mathcal{B}$ is orthonormal?

Let $A,B\in M_n (\mathbb R), \lambda\in \sigma(B), \alpha \in \sigma (B)$ and $<x,y>$ be inner product show $<Ax+By,x>=\lambda||x||^2+\alpha<x,y>$

Division of Positive Definite Matrix - Inner Product Space

transform the basis vectors into an orthonormal basis.

Do all inner products on $\Bbb R^n$ are equivalent?

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