Question

Is it true that there exists a scalar $t$ such that $\langle u_2-tu_1, u_1\rangle = 0$?

score 43 · Answer 1 · 2026-04-12 23:46:08

43

Views

Is it true that there exists a scalar $t$ such that $\langle u_2-tu_1, u_1\rangle = 0$?

Published on 12 Apr 2026 - 23:46

score 618 · Answer 2 · 2015-02-08 18:19:46

618

Views

Give an example of a normal matrix $B_{3x3}$ such that $B$ isn't diagonal and one of its eigenspaces is $U=sp\{(1,0,-1),(0,1,1)\}$.

Published on 08 Feb 2015 - 18:19

score 3.8k · Answer 3 · 2026-04-12 00:08:18

3.8k

Views

Coefficients in Fourier series

Published on 12 Apr 2026 - 0:08

score 523 · Answer 4 · 2015-02-11 05:13:49

523

Views

How can I find the angle between cos(x/4) and sin(x/4) over the interval [0,pi]?

Published on 11 Feb 2015 - 5:13

score 44 · Answer 5 · 2026-04-10 18:34:40

44

Views

Symmetric complex matrices

Published on 10 Apr 2026 - 18:34

score 293 · Answer 6 · 2026-04-10 17:23:12

293

Views

Continuous functions inner product definition

Published on 10 Apr 2026 - 17:23

score 539 · Answer 7 · 2026-04-08 21:43:52

539

Views

Inner Product Definition

Published on 08 Apr 2026 - 21:43

score 16.9k · Answer 8 · 2015-02-13 05:39:09

16.9k

Views

$u+v$ is orthogonal to $u-v$ if and only if $\|u\| = \|v\|$

Published on 13 Feb 2015 - 5:39

score 717 · Answer 9 · 2015-02-14 23:04:47

717

Views

Show that $\langle f,g\rangle= f(1)g(1)$ is not an inner product

Published on 14 Feb 2015 - 23:04

score 971 · Answer 10 · 2015-02-15 02:47:23

971

Views

Find constant polynomial $g$ closest to $f= e^x$ using the inner product $\int_0^2 f(x)g(x) dx$

Published on 15 Feb 2015 - 2:47

score 103 · Answer 11 · 2026-03-28 16:56:51

103

Views

Do the statements hold in an inner product space over $\mathbb R$ as well?

Published on 28 Mar 2026 - 16:56

score 294 · Answer 12 · 2015-02-20 11:10:44

294

Views

A real vector space is an inner product space if every two dimensional subspace is an inner product space ?

Published on 20 Feb 2015 - 11:10

score 296 · Answer 13 · 2015-02-20 11:26:59

296

Views

In a real normed linear space if $||x||=||y||$ implies $\lim_{n \to \infty} ||x+ny||-||nx+y||=0$ , then the norm comes from an inner-product space?

Published on 20 Feb 2015 - 11:26

score 73 · Answer 14 · 2026-04-12 10:47:26

73

Views

Finding rotate matrix which solves equation

Published on 12 Apr 2026 - 10:47

score 779 · Answer 15 · 2026-04-13 08:14:43

779

Views

Is the parallelogram equality satisfied in $l^1$?

Published on 13 Apr 2026 - 8:14

List Question

Is it true that there exists a scalar $t$ such that $\langle u_2-tu_1, u_1\rangle = 0$?

Give an example of a normal matrix $B_{3x3}$ such that $B$ isn't diagonal and one of its eigenspaces is $U=sp\{(1,0,-1),(0,1,1)\}$.

Coefficients in Fourier series

How can I find the angle between cos(x/4) and sin(x/4) over the interval [0,pi]?

Symmetric complex matrices

Continuous functions inner product definition

Inner Product Definition

$u+v$ is orthogonal to $u-v$ if and only if $\|u\| = \|v\|$

Show that $\langle f,g\rangle= f(1)g(1)$ is not an inner product

Find constant polynomial $g$ closest to $f= e^x$ using the inner product $\int_0^2 f(x)g(x) dx$

Do the statements hold in an inner product space over $\mathbb R$ as well?

A real vector space is an inner product space if every two dimensional subspace is an inner product space ?

In a real normed linear space if $||x||=||y||$ implies $\lim_{n \to \infty} ||x+ny||-||nx+y||=0$ , then the norm comes from an inner-product space?

Finding rotate matrix which solves equation

Is the parallelogram equality satisfied in $l^1$?

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