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Well-defined, surjective map between two quotient spaces (Linear Algebra - beginner level)

score 690 · Answer 1 · 2026-04-12 01:42:29

690

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Well-defined, surjective map between two quotient spaces (Linear Algebra - beginner level)

Published on 12 Apr 2026 - 1:42

score 35 · Answer 2 · 2026-04-08 09:10:26

35

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Show that for all $k,l\in \mathbb Z, f(k+l)=f(k)+f(l)+kl$, that $f(0)=0$ and that for all $k\in \mathbb Z\,, f(-k)=k^2-f(k)$

Published on 08 Apr 2026 - 9:10

score 41 · Answer 3 · 2026-03-27 14:57:11

41

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Sets and vector subspaces

Published on 27 Mar 2026 - 14:57

score 142 · Answer 4 · 2026-03-25 11:14:48

142

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Find the inverse of $5+4\sqrt[3]{2}+3\sqrt[3]{4}$?

Published on 25 Mar 2026 - 11:14

score 46 · Answer 5 · 2026-04-12 01:40:54

46

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Problem with inverse element in group

Published on 12 Apr 2026 - 1:40

score 55 · Answer 6 · 2026-03-25 22:04:44

55

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Proof explanation: Let $\mathsf{V,W}$ are vector spaces, $u\in\mathsf{V}$, then $[\mathsf{T}(u)]_\gamma=[\mathsf{T}]_\beta^\gamma[u]_\beta$

Published on 25 Mar 2026 - 22:04

score 44 · Answer 7 · 2026-03-30 13:22:59

44

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The criterion of the consistency of the linear system and its (mis)use

Published on 30 Mar 2026 - 13:22

score 656 · Answer 8 · 2026-04-11 04:41:40

656

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Linear Algebra: Line Intersection

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score 3.7k · Answer 9 · 2026-04-12 02:39:16

3.7k

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Published on 12 Apr 2026 - 2:39

score 352 · Answer 10 · 2026-04-11 17:09:11

352

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How can I find all values of k which make this matrix diagonalizable over the complex field?

Published on 11 Apr 2026 - 17:09

score 118 · Answer 11 · 2026-04-11 13:35:36

118

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Stability of Differential Equations

Published on 11 Apr 2026 - 13:35

score 77 · Answer 12 · 2026-04-12 18:09:19

77

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When given the matrix $A$, how do I find integer matrices $C$ and $D$ so that $CAD$ is diagonal?

Published on 12 Apr 2026 - 18:09

score 36 · Answer 13 · 2018-04-08 18:13:37

36

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Why is $\{y_1,y_2 \}$ a basis for $K$?

Published on 08 Apr 2018 - 18:13

score 34 · Answer 14 · 2026-03-30 13:17:49

34

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Solving set of equations efficiently

Published on 30 Mar 2026 - 13:17

score 111 · Answer 15 · 2026-04-12 11:31:40

111

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Philosophical question on visualizing basis vectors as orthogonal

Published on 12 Apr 2026 - 11:31

List Question

Well-defined, surjective map between two quotient spaces (Linear Algebra - beginner level)

Show that for all $k,l\in \mathbb Z, f(k+l)=f(k)+f(l)+kl$, that $f(0)=0$ and that for all $k\in \mathbb Z\,, f(-k)=k^2-f(k)$

Sets and vector subspaces

Find the inverse of $5+4\sqrt[3]{2}+3\sqrt[3]{4}$?

Problem with inverse element in group

Proof explanation: Let $\mathsf{V,W}$ are vector spaces, $u\in\mathsf{V}$, then $[\mathsf{T}(u)]_\gamma=[\mathsf{T}]_\beta^\gamma[u]_\beta$

The criterion of the consistency of the linear system and its (mis)use

Linear Algebra: Line Intersection

Vectors and directed line segments

How can I find all values of k which make this matrix diagonalizable over the complex field?

Stability of Differential Equations

When given the matrix $A$, how do I find integer matrices $C$ and $D$ so that $CAD$ is diagonal?

Why is $\{y_1,y_2 \}$ a basis for $K$?

Solving set of equations efficiently

Philosophical question on visualizing basis vectors as orthogonal

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