Question

Suppose $w$ is any vector in $V$, then, for some choice of sign $\pm$, $\{v_1\pm w, v_2,\cdots,v_n\}$ is a basis for $V$.

score 39 · Answer 1 · 2021-09-11 18:25:23

39

Views

Suppose $w$ is any vector in $V$, then, for some choice of sign $\pm$, $\{v_1\pm w, v_2,\cdots,v_n\}$ is a basis for $V$.

Published on 11 Sep 2021 - 18:25

score 236 · Answer 2 · 2021-09-29 23:33:06

236

Views

Direct proof from AC that every vector space has a basis?

Published on 29 Sep 2021 - 23:33

score 339 · Answer 3 · 2021-10-08 19:09:57

339

Views

Can this theorem be generalized to infinite dimensional vector spaces?

Published on 08 Oct 2021 - 19:09

score 45 · Answer 4 · 2021-10-11 22:57:57

45

Views

setting up for basis of vector

Published on 11 Oct 2021 - 22:57

score 35 · Answer 5 · 2021-10-12 07:46:36

35

Views

Proving $d\varphi^{\mu_1} \wedge d\varphi^{\mu_2}... \wedge d\varphi^{\mu_k}$ is basis for space of $k$-forms

Published on 12 Oct 2021 - 7:46

score 67 · Answer 6 · 2021-10-15 08:33:21

67

Views

What am I missing in this paper: ``Infinite dimensional Banach spaces must have uncountable basis—an elementary proof"?

Published on 15 Oct 2021 - 8:33

score 331 · Answer 7 · 2021-10-16 15:33:23

331

Views

Basis for a subspace of matrix $2\times2 $with sum 0 entries.

Published on 16 Oct 2021 - 15:33

score 70 · Answer 8 · 2021-10-29 03:00:55

70

Views

How to Find the Basis for a Specific Vector Space?

Published on 29 Oct 2021 - 3:00

score 7k · Answer 9 · 2021-10-29 03:43:34

7k

Views

What is a Hamel basis?

Published on 29 Oct 2021 - 3:43

score 782 · Answer 10 · 2021-11-20 10:39:09

782

Views

Why isn't this a counterexample of Banach-Steinhaus theorem?

Published on 20 Nov 2021 - 10:39

score 150 · Answer 11 · 2021-11-21 20:20:17

150

Views

Largest and smallest norm on a vector space given a Hamel basis should be normalised in that norm

Published on 21 Nov 2021 - 20:20

score 54 · Answer 12 · 2021-11-24 15:05:42

54

Views

Boundness of the operator when Hamel basis vectors are eigenvectors

Published on 24 Nov 2021 - 15:05

score 313 · Answer 13 · 2021-12-15 19:49:03

313

Views

Basis of a polynomial ring over the field of Rationals

Published on 15 Dec 2021 - 19:49

score 47 · Answer 14 · 2021-12-18 15:30:59

47

Views

Is a Hilbert space determined by its algebraic dimension?

Published on 18 Dec 2021 - 15:30

score 116 · Answer 15 · 2022-01-14 10:56:14

116

Views

The set of vectors {a, b, c} is a basis of R³. Determine if another set, {3a-2b, a+4b+5c, a-2c}, is also a basis of R³.

Published on 14 Jan 2022 - 10:56

List Question

Suppose $w$ is any vector in $V$, then, for some choice of sign $\pm$, $\{v_1\pm w, v_2,\cdots,v_n\}$ is a basis for $V$.

Direct proof from AC that every vector space has a basis?

Can this theorem be generalized to infinite dimensional vector spaces?

setting up for basis of vector

Proving $d\varphi^{\mu_1} \wedge d\varphi^{\mu_2}... \wedge d\varphi^{\mu_k}$ is basis for space of $k$-forms

What am I missing in this paper: ``Infinite dimensional Banach spaces must have uncountable basis—an elementary proof"?

Basis for a subspace of matrix $2\times2 $with sum 0 entries.

How to Find the Basis for a Specific Vector Space?

What is a Hamel basis?

Why isn't this a counterexample of Banach-Steinhaus theorem?

Largest and smallest norm on a vector space given a Hamel basis should be normalised in that norm

Boundness of the operator when Hamel basis vectors are eigenvectors

Basis of a polynomial ring over the field of Rationals

Is a Hilbert space determined by its algebraic dimension?

The set of vectors {a, b, c} is a basis of R³. Determine if another set, {3a-2b, a+4b+5c, a-2c}, is also a basis of R³.

Trending Questions

Popular # Hahtags

Popular Questions