Question

Proving linear dependence iff $x \neq 0, a = xb$

score 67 · Answer 1 · 2026-04-02 17:29:03

67

Views

Proving linear dependence iff $x \neq 0, a = xb$

Published on 02 Apr 2026 - 17:29

score 125 · Answer 2 · 2026-04-09 03:39:13

125

Views

How would I show that X is equivalent to ((¬X ↔ X ) ∨ X )?

Published on 09 Apr 2026 - 3:39

score 90 · Answer 3 · 2026-04-11 01:15:01

90

Views

Quotient of Gaussian Integers via Third Ring Isomorphism

Published on 11 Apr 2026 - 1:15

score 139 · Answer 4 · 2026-03-25 06:21:17

139

Views

Idea is correct, proof lacks rigor, coefficient of $t$ in $\det(I+tA)$

Published on 25 Mar 2026 - 6:21

score 1.2k · Answer 5 · 2026-03-27 15:09:52

1.2k

Views

Concerning the linear independence of $p_0,p_1,...,p_m$ when $p_j(2) = 0$

Published on 27 Mar 2026 - 15:09

score 644 · Answer 6 · 2026-04-02 19:18:58

644

Views

Given one basis, prove combination of its vectors is also in the vector space

Published on 02 Apr 2026 - 19:18

score 71 · Answer 7 · 2026-04-02 19:13:25

71

Views

Proving linearly independence even when the first vector is omitted

Published on 02 Apr 2026 - 19:13

score 70 · Answer 8 · 2026-03-25 06:12:42

70

Views

Prove that $T$ has a minimal set and list countably many minimal sets of $T$.

Published on 25 Mar 2026 - 6:12

score 85 · Answer 9 · 2018-02-26 15:51:52

85

Views

Group theory/cosets: Prove or disprove the map $\phi: L_{H}\to R_{H}$ defined by $\phi(gH)=Hg$ is a function.

Published on 26 Feb 2018 - 15:51

score 70 · Answer 10 · 2026-03-25 07:53:26

70

Views

Prove that $\forall n \in \Bbb{N}, 1 <n, \left( 1 + \frac{1}{n} \right)^n < \sum_{i=0}^n \frac{1}{i!}$

Published on 25 Mar 2026 - 7:53

score 675 · Answer 11 · 2026-03-24 22:01:40

675

Views

Prove that if matrix AA is invertible then A is invertible

Published on 24 Mar 2026 - 22:01

score 450 · Answer 12 · 2026-03-24 21:59:36

450

Views

Prove every convergent sequence is Cauchy.

Published on 24 Mar 2026 - 21:59

score 51 · Answer 13 · 2026-04-10 16:09:06

51

Views

Proving polynomial relationship using combinations

Published on 10 Apr 2026 - 16:09

score 61 · Answer 14 · 2026-03-27 18:35:46

61

Views

Proof using squeeze theorem for convergence of infinite sequence

Published on 27 Mar 2026 - 18:35

score 94 · Answer 15 · 2026-03-27 16:53:49

94

Views

Show that $\forall n, a_n$ is an integer that is multiple of $n$.

Published on 27 Mar 2026 - 16:53

List Question

Proving linear dependence iff $x \neq 0, a = xb$

How would I show that X is equivalent to ((¬X ↔ X ) ∨ X )?

Quotient of Gaussian Integers via Third Ring Isomorphism

Idea is correct, proof lacks rigor, coefficient of $t$ in $\det(I+tA)$

Concerning the linear independence of $p_0,p_1,...,p_m$ when $p_j(2) = 0$

Given one basis, prove combination of its vectors is also in the vector space

Proving linearly independence even when the first vector is omitted

Prove that $T$ has a minimal set and list countably many minimal sets of $T$.

Group theory/cosets: Prove or disprove the map $\phi: L_{H}\to R_{H}$ defined by $\phi(gH)=Hg$ is a function.

Prove that $\forall n \in \Bbb{N}, 1 <n, \left( 1 + \frac{1}{n} \right)^n < \sum_{i=0}^n \frac{1}{i!}$

Prove that if matrix AA is invertible then A is invertible

Prove every convergent sequence is Cauchy.

Proving polynomial relationship using combinations

Proof using squeeze theorem for convergence of infinite sequence

Show that $\forall n, a_n$ is an integer that is multiple of $n$.

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