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Proof verification for linear subspaces from Michael Taylor's linear algebra notes

score 68 · Answer 1 · 2026-04-11 15:17:46

68

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Proof verification for linear subspaces from Michael Taylor's linear algebra notes

Published on 11 Apr 2026 - 15:17

score 104 · Answer 2 · 2026-04-14 04:42:24

104

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Find the mistake in following proof

Published on 14 Apr 2026 - 4:42

score 140 · Answer 3 · 2026-04-16 15:21:28

140

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Let $f$ be continuous prove that if $f:[a,b] \rightarrow \mathbb{R}$ then $|f(x)| \leq M$ for $M >0$

Published on 16 Apr 2026 - 15:21

score 1.6k · Answer 4 · 2026-04-15 13:22:47

1.6k

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Show that the restriction of a quotient map onto a saturated open subset is still a quotient map.

Published on 15 Apr 2026 - 13:22

score 462 · Answer 5 · 2026-04-17 03:51:46

462

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Range of values of e, given that there is a second collision

Published on 17 Apr 2026 - 3:51

score 39 · Answer 6 · 2026-04-15 13:16:00

39

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Question on calculating $H_n(S^1 \times S^1,A)$ where $A$ is a finite set of points

Published on 15 Apr 2026 - 13:16

score 507 · Answer 7 · 2026-04-12 10:31:45

507

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Proof that order is reflexive

Published on 12 Apr 2026 - 10:31

score 89 · Answer 8 · 2026-04-17 00:05:27

89

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Let $f(x)$ be continous in $x_0$ and $f(x_0)\ne 0$. Prove that $\exists C>0$ and neighbouhood of $x_0$ such that $|f(x)| \ge C$

Published on 17 Apr 2026 - 0:05

score 77 · Answer 9 · 2026-04-15 18:38:54

77

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How to prove $n^{3/2} \le 2^n/n$ for all $n\geq 8$ via Induction?

Published on 15 Apr 2026 - 18:38

score 834 · Answer 10 · 2026-04-15 18:05:07

834

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If $(x_n)_{n = 1}^{\infty}$ is Cauchy, show subsequence $(x_{n_{k}})$ such that $\sum_{k = 1}^{\infty}|x_{n_{k}} - x_{n_{k+1}}| < \infty$

Published on 15 Apr 2026 - 18:05

score 44 · Answer 11 · 2026-04-11 01:17:08

44

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Every metric space is the union of open balls.

Published on 11 Apr 2026 - 1:17

score 1.9k · Answer 12 · 2026-04-14 04:44:06

1.9k

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Union of infinite sets and infinity

Published on 14 Apr 2026 - 4:44

score 147 · Answer 13 · 2026-04-08 21:58:11

147

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Need help verifying my proof that $(\mathbb{Z}, s)$ admits quantifier elimination

Published on 08 Apr 2026 - 21:58

score 350 · Answer 14 · 2026-04-08 02:35:12

350

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Discrete mathematics - understanding proof by induction

Published on 08 Apr 2026 - 2:35

score 203 · Answer 15 · 2026-04-15 04:24:19

203

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Prob. 7, Sec. 5, in G.F. Simmon's INTRO. TO TOPOLOGY & MODERN ANALYSIS: Equivalence relation iff reflexive and circular iff reflexive and triangular

Published on 15 Apr 2026 - 4:24

List Question

Proof verification for linear subspaces from Michael Taylor's linear algebra notes

Find the mistake in following proof

Let $f$ be continuous prove that if $f:[a,b] \rightarrow \mathbb{R}$ then $|f(x)| \leq M$ for $M >0$

Show that the restriction of a quotient map onto a saturated open subset is still a quotient map.

Range of values of e, given that there is a second collision

Question on calculating $H_n(S^1 \times S^1,A)$ where $A$ is a finite set of points

Proof that order is reflexive

Let $f(x)$ be continous in $x_0$ and $f(x_0)\ne 0$. Prove that $\exists C>0$ and neighbouhood of $x_0$ such that $|f(x)| \ge C$

How to prove $n^{3/2} \le 2^n/n$ for all $n\geq 8$ via Induction?

If $(x_n)_{n = 1}^{\infty}$ is Cauchy, show subsequence $(x_{n_{k}})$ such that $\sum_{k = 1}^{\infty}|x_{n_{k}} - x_{n_{k+1}}| < \infty$

Every metric space is the union of open balls.

Union of infinite sets and infinity

Need help verifying my proof that $(\mathbb{Z}, s)$ admits quantifier elimination

Discrete mathematics - understanding proof by induction

Prob. 7, Sec. 5, in G.F. Simmon's INTRO. TO TOPOLOGY & MODERN ANALYSIS: Equivalence relation iff reflexive and circular iff reflexive and triangular

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