Question

Finding all inner products on $\mathbb{R}^2$ for which a given linear map is orthogonal

score 1.9k · Answer 1 · 2026-04-10 19:12:47

1.9k

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Finding all inner products on $\mathbb{R}^2$ for which a given linear map is orthogonal

Published on 10 Apr 2026 - 19:12

score 115 · Answer 2 · 2026-04-12 09:00:37

115

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Show that the expression does not depend on what base you pick

Published on 12 Apr 2026 - 9:00

score 3.1k · Answer 3 · 2015-01-16 02:34:03

3.1k

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Inner-product and vector notation confusion

Published on 16 Jan 2015 - 2:34

score 4.8k · Answer 4 · 2026-04-08 13:54:58

4.8k

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A Proof that Orthogonal Complement is unique

Published on 08 Apr 2026 - 13:54

score 73 · Answer 5 · 2015-01-16 21:22:43

73

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Expressing $C(x) = \tilde{x} = (\langle x,a_i \rangle )$ as a product of matrices in the form $Cx = \tilde{x}$

Published on 16 Jan 2015 - 21:22

score 84 · Answer 6 · 2015-01-16 22:36:26

84

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Prove $\big|\langle x,y \rangle\big| \space ≤ \space \lambda \cdot \|x\|^2+\frac{1}{4\lambda} \cdot \|y\|^2$ in an inner product space

Published on 16 Jan 2015 - 22:36

score 35 · Answer 7 · 2026-04-12 08:00:51

35

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Expressing the inverse of $C(x) = (\langle x,a_i \rangle )$

Published on 12 Apr 2026 - 8:00

score 87 · Answer 8 · 2026-04-11 23:12:16

87

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Question about definition of inner product space

Published on 11 Apr 2026 - 23:12

score 66 · Answer 9 · 2015-01-17 18:28:58

66

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Why is $\langle x-P(x),m\rangle=0$?

Published on 17 Jan 2015 - 18:28

score 1.6k · Answer 10 · 2026-04-11 03:26:51

1.6k

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How can I show $U^{\bot \bot}\subseteq \overline{U}$?

Published on 11 Apr 2026 - 3:26

score 368 · Answer 11 · 2026-03-30 21:04:14

368

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Geometrical or Physical significance (interpretation) of the inner-product $\langle A,B \rangle := Trace (AB^t)$ over $M_n(\mathbb R)$

Published on 30 Mar 2026 - 21:04

score 1.4k · Answer 12 · 2026-04-11 12:02:50

1.4k

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Angles in Inner Product Spaces

Published on 11 Apr 2026 - 12:02

score 735 · Answer 13 · 2026-03-28 17:04:54

735

Views

In an infinite dimensional real inner-product space , can any non-null orthogonal set of vectors in the space can be extended to an orthogonal basis?

Published on 28 Mar 2026 - 17:04

score 981 · Answer 14 · 2026-04-12 16:34:55

981

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How to prove that any Hamel basis of an infinite-dimensional separable real Hilbert space is uncountable?

Published on 12 Apr 2026 - 16:34

score 61 · Answer 15 · 2026-04-11 06:14:34

61

Views

Does a normed space with norm2 defines an inner product?

Published on 11 Apr 2026 - 6:14

List Question

Finding all inner products on $\mathbb{R}^2$ for which a given linear map is orthogonal

Show that the expression does not depend on what base you pick

Inner-product and vector notation confusion

A Proof that Orthogonal Complement is unique

Expressing $C(x) = \tilde{x} = (\langle x,a_i \rangle )$ as a product of matrices in the form $Cx = \tilde{x}$

Prove $\big|\langle x,y \rangle\big| \space ≤ \space \lambda \cdot \|x\|^2+\frac{1}{4\lambda} \cdot \|y\|^2$ in an inner product space

Expressing the inverse of $C(x) = (\langle x,a_i \rangle )$

Question about definition of inner product space

Why is $\langle x-P(x),m\rangle=0$?

How can I show $U^{\bot \bot}\subseteq \overline{U}$?

Geometrical or Physical significance (interpretation) of the inner-product $\langle A,B \rangle := Trace (AB^t)$ over $M_n(\mathbb R)$

Angles in Inner Product Spaces

In an infinite dimensional real inner-product space , can any non-null orthogonal set of vectors in the space can be extended to an orthogonal basis?

How to prove that any Hamel basis of an infinite-dimensional separable real Hilbert space is uncountable?

Does a normed space with norm2 defines an inner product?

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