Question

$V^*$ is isomorphic to the direct product of copies of $F$ indexed by $A$

score 386 · Answer 1 · 2026-03-25 06:48:36

386

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$V^*$ is isomorphic to the direct product of copies of $F$ indexed by $A$

Published on 25 Mar 2026 - 6:48

score 429 · Answer 2 · 2018-02-05 02:16:24

429

Views

Can one compute the dot product knowing only the basis expansions of vectors v and w?

Published on 05 Feb 2018 - 2:16

score 94 · Answer 3 · 2026-03-24 20:32:13

94

Views

Let $A$ matrix with $rank(A) = 2$, Let B, find $a, b, c ,d$ in matrix $B$

Published on 24 Mar 2026 - 20:32

score 297 · Answer 4 · 2018-02-05 13:37:26

297

Views

Intersection of two three-dimensional subspaces

Published on 05 Feb 2018 - 13:37

score 667 · Answer 5 · 2026-03-25 10:55:31

667

Views

$n$-dimensional integer space? Or $\{ \mathbf{x} \in \mathbb{R}^n | x_1, x_2, ..., x_n \in \mathbb{Z} \}$?

Published on 25 Mar 2026 - 10:55

score 86 · Answer 6 · 2026-03-25 09:23:35

86

Views

Are these two mathematical objects the same from a practical standpoint, or literally identical mathematical objects?

Published on 25 Mar 2026 - 9:23

score 481 · Answer 7 · 2018-02-05 16:03:12

481

Views

Finding the subspace generated by eigenvectors of eigenvalue $\lambda$

Published on 05 Feb 2018 - 16:03

score 24 · Answer 8 · 2018-02-05 21:41:01

24

Views

How would you go about finding a basis of matrices in a vector space?

Published on 05 Feb 2018 - 21:41

score 647 · Answer 9 · 2026-03-25 06:12:56

647

Views

Is the union of the two given sets linearly independent?

Published on 25 Mar 2026 - 6:12

score 7.3k · Answer 10 · 2018-02-06 02:56:17

7.3k

Views

What does "Consider R as an vector space over Q" mean?

Published on 06 Feb 2018 - 2:56

score 22 · Answer 11 · 2018-02-06 03:15:53

22

Views

For which $a,b$ it is true that $\mathbb{R}^3=V_a\oplus V_b$?

Published on 06 Feb 2018 - 3:15

score 353 · Answer 12 · 2018-02-06 12:17:20

353

Views

How to compare vectors

Published on 06 Feb 2018 - 12:17

score 230 · Answer 13 · 2026-03-22 01:25:23

230

Views

Basis of complex vector spaces

Published on 22 Mar 2026 - 1:25

score 319 · Answer 14 · 2026-03-19 17:40:27

319

Views

Given a set of polynomials that correspond to weak compositions of an integer, are all possible products of d such polynomials linearly independent?

Published on 19 Mar 2026 - 17:40

score 162 · Answer 15 · 2018-02-07 19:35:13

162

Views

Prove/Disprove: $S$ not invertible and $\dim(\ker(T)+\dim(\ker(S)\geq\dim(V)$

Published on 07 Feb 2018 - 19:35

List Question

$V^*$ is isomorphic to the direct product of copies of $F$ indexed by $A$

Can one compute the dot product knowing only the basis expansions of vectors v and w?

Let $A$ matrix with $rank(A) = 2$, Let B, find $a, b, c ,d$ in matrix $B$

Intersection of two three-dimensional subspaces

$n$-dimensional integer space? Or $\{ \mathbf{x} \in \mathbb{R}^n | x_1, x_2, ..., x_n \in \mathbb{Z} \}$?

Are these two mathematical objects the same from a practical standpoint, or literally identical mathematical objects?

Finding the subspace generated by eigenvectors of eigenvalue $\lambda$

How would you go about finding a basis of matrices in a vector space?

Is the union of the two given sets linearly independent?

What does "Consider R as an vector space over Q" mean?

For which $a,b$ it is true that $\mathbb{R}^3=V_a\oplus V_b$?

How to compare vectors

Basis of complex vector spaces

Given a set of polynomials that correspond to weak compositions of an integer, are all possible products of d such polynomials linearly independent?

Prove/Disprove: $S$ not invertible and $\dim(\ker(T)+\dim(\ker(S)\geq\dim(V)$

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