Question

If two vectors are orthogonal then $\|a + b\|^2=\|a\|^2 + \|b\|^2$

score 215 · Answer 1 · 2026-04-16 04:32:12

215

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If two vectors are orthogonal then $\|a + b\|^2=\|a\|^2 + \|b\|^2$

Published on 16 Apr 2026 - 4:32

score 78 · Answer 2 · 2026-04-16 22:42:29

78

Views

Prove that exists an inner product such that $\{1+x,x+x^2,x^2+x^3,x^3+x^4,x^4-1\}$ is orthogonal

Published on 16 Apr 2026 - 22:42

score 37 · Answer 3 · 2026-04-17 05:35:57

37

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Show that orthogonal projection of $(0,1,0)$ over $W$ is the vector $(\frac{1}{\sqrt{2}}, \frac{i}{2}, \frac{1+i}{4})$

Published on 17 Apr 2026 - 5:35

score 39 · Answer 4 · 2026-04-15 02:50:08

39

Views

prove we can find two vectors in $V_1, V_2$ with zero inner product

Published on 15 Apr 2026 - 2:50

score 101 · Answer 5 · 2026-04-14 23:11:40

If terms of $\left\langle Tu,w\right\rangle$ are of the form $\left\langle Tv,v\right\rangle$, then $\left\langle Tu,w\right\rangle=0$. Why?

score 44 · Answer 6 · 2026-04-16 16:04:01

44

Views

Calculate $4||x+y||2+||x−y||2 $

Published on 16 Apr 2026 - 16:04

score 492 · Answer 7 · 2026-04-13 17:16:49

492

Views

Inner Product is Less than Zero

Published on 13 Apr 2026 - 17:16

score 139 · Answer 8 · 2026-04-14 09:23:10

139

Views

Are directional derivatives symmetric around the gradient?

Published on 14 Apr 2026 - 9:23

score 105 · Answer 9 · 2026-04-16 07:22:57

105

Views

if a set S is convex then $\left\langle x-y,z\right\rangle <\left\langle x-y,\frac{x}{2}+\frac{y}{2}\right\rangle $ for any z in the set

Published on 16 Apr 2026 - 7:22

score 61 · Answer 10 · 2026-04-11 07:15:02

61

Views

Dot Products and Linear Progamming

Published on 11 Apr 2026 - 7:15

score 2.3k · Answer 11 · 2026-04-14 02:43:47

2.3k

Views

What is the use of Frobenuis inner product?

Published on 14 Apr 2026 - 2:43

score 413 · Answer 12 · 2026-04-15 19:23:33

413

Views

Show (inner) product of two infinite sums is convergent or divergent.

Published on 15 Apr 2026 - 19:23

score 182 · Answer 13 · 2026-04-15 01:00:08

182

Views

There exists a nonzero element $x \in W$ such that $x \perp V$ if $\dim(W) > \dim(V)$

Published on 15 Apr 2026 - 1:00

score 2k · Answer 14 · 2026-04-12 22:19:42

2k

Views

Are the following two inner products on differential forms equal?

Published on 12 Apr 2026 - 22:19

score 342 · Answer 15 · 2026-04-12 07:55:33

342

Views

What is the difference between the annihilator of a vector space and the orthogonal complement in "Coding tha Matrix" by Philip N. Klein?

Published on 12 Apr 2026 - 7:55

List Question

If two vectors are orthogonal then $\|a + b\|^2=\|a\|^2 + \|b\|^2$

Prove that exists an inner product such that $\{1+x,x+x^2,x^2+x^3,x^3+x^4,x^4-1\}$ is orthogonal

Show that orthogonal projection of $(0,1,0)$ over $W$ is the vector $(\frac{1}{\sqrt{2}}, \frac{i}{2}, \frac{1+i}{4})$

prove we can find two vectors in $V_1, V_2$ with zero inner product

If terms of $\left\langle Tu,w\right\rangle$ are of the form $\left\langle Tv,v\right\rangle$, then $\left\langle Tu,w\right\rangle=0$. Why?

Calculate $4||x+y||2+||x−y||2 $

Inner Product is Less than Zero

Are directional derivatives symmetric around the gradient?

if a set S is convex then $\left\langle x-y,z\right\rangle <\left\langle x-y,\frac{x}{2}+\frac{y}{2}\right\rangle $ for any z in the set

Dot Products and Linear Progamming

What is the use of Frobenuis inner product?

Show (inner) product of two infinite sums is convergent or divergent.

There exists a nonzero element $x \in W$ such that $x \perp V$ if $\dim(W) > \dim(V)$

Are the following two inner products on differential forms equal?

What is the difference between the annihilator of a vector space and the orthogonal complement in "Coding tha Matrix" by Philip N. Klein?

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