Question

show that there exists a basis $ \ \mathcal{B}'=\{e_1',e_2',......, e_n' \} \ \ of \ \ V $ such that $ \ G(e_i,e_j')=\delta^i_j \ $

score 77 · Answer 1 · 2026-05-11 08:46:38

show that there exists a basis $ \ \mathcal{B}'=\{e_1',e_2',......, e_n' \} \ \ of \ \ V $ such that $ \ G(e_i,e_j')=\delta^i_j \ $

score 149 · Answer 2 · 2026-04-14 09:47:18

149

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Rotation matrix for a line - my alternative approach

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score 553 · Answer 3 · 2026-04-12 16:13:06

553

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Conditional mean squared error vs unconditional mean squared error

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score 64 · Answer 4 · 2026-04-13 16:23:36

64

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Why is $f:\mathbb{C}\rightarrow\mathbb{C}, z\mapsto\overline{z}$ a linear map?

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score 357 · Answer 5 · 2026-04-12 05:15:17

357

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A few statements about linear maps and vector spaces

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score 807 · Answer 6 · 2026-04-13 17:31:29

807

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Proving that vector is in Span when coefficient matrix has no solution

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score 254 · Answer 7 · 2026-04-16 14:39:39

254

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score 66 · Answer 8 · 2026-04-16 20:32:34

66

Views

Is $(x_1,x_2,x_3)^T\mapsto(x_1\cdot x_2,x_3)^T$ a linear map?

Published on 16 Apr 2026 - 20:32

score 136 · Answer 9 · 2026-04-17 14:46:49

136

Views

Show that $\frac{\partial}{\partial X}X^{-1} = \left(-X^{-T} \otimes X^{-1}\right)$

Published on 17 Apr 2026 - 14:46

score 166 · Answer 10 · 2026-05-10 16:12:58

166

Views

Why is $\max_{c^TBc=1}c^T a a^Tc =a^TB^{-1}a$?

Published on 10 May 2026 - 16:12

score 76 · Answer 11 · 2026-04-08 21:51:30

76

Views

Can this equation give $A=A^\ast$

Published on 08 Apr 2026 - 21:51

score 36 · Answer 12 · 2026-04-15 16:26:16

36

Views

Prove: $T^*=-T\Rightarrow \langle T(v),v\rangle=0$ over $\mathbb{F}$

Published on 15 Apr 2026 - 16:26

score 412 · Answer 13 · 2026-04-17 08:04:50

412

Views

There exists a linear transformation that maps a $2×2$ matrix to $R^3$ vector?

Published on 17 Apr 2026 - 8:04

score 54 · Answer 14 · 2026-04-14 00:53:18

54

Views

How can I prove that the following polynomial is equal to $a=\frac{pb}{bc-ad}$

Published on 14 Apr 2026 - 0:53

score 106 · Answer 15 · 2026-04-15 00:32:43

106

Views

(c) For any $ \ v \in V \ $ , show that $ \ v=\sum_{i=1}^{n} G(e_i,v)e_i' \ $

Published on 15 Apr 2026 - 0:32

List Question

show that there exists a basis $ \ \mathcal{B}'=\{e_1',e_2',......, e_n' \} \ \ of \ \ V $ such that $ \ G(e_i,e_j')=\delta^i_j \ $

Rotation matrix for a line - my alternative approach

Conditional mean squared error vs unconditional mean squared error

Why is $f:\mathbb{C}\rightarrow\mathbb{C}, z\mapsto\overline{z}$ a linear map?

A few statements about linear maps and vector spaces

Proving that vector is in Span when coefficient matrix has no solution

Prove the isomorphism of Z-modules

Is $(x_1,x_2,x_3)^T\mapsto(x_1\cdot x_2,x_3)^T$ a linear map?

Show that $\frac{\partial}{\partial X}X^{-1} = \left(-X^{-T} \otimes X^{-1}\right)$

Why is $\max_{c^TBc=1}c^T a a^Tc =a^TB^{-1}a$?

Can this equation give $A=A^\ast$

Prove: $T^*=-T\Rightarrow \langle T(v),v\rangle=0$ over $\mathbb{F}$

There exists a linear transformation that maps a $2×2$ matrix to $R^3$ vector?

How can I prove that the following polynomial is equal to $a=\frac{pb}{bc-ad}$

(c) For any $ \ v \in V \ $ , show that $ \ v=\sum_{i=1}^{n} G(e_i,v)e_i' \ $

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