List questions from solution-verification

Published on 14 Apr 2026 - 10:18

83

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Need help with verifying if a proof i did is correct.

Published on 11 Apr 2026 - 15:57

56

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Show that there exists a $λ ∈ K$ such that $l(A) = λtrace(A)$ for all $A ∈ Mat_{n,n}(K)$

Published on 14 Apr 2026 - 13:09

57

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General Spectral Mapping Theorem

Published on 12 Apr 2026 - 4:59

88

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Exercise 5, Section 1.2 of Hungerford’s Abstract Algebra

Published on 17 Apr 2026 - 5:29

71

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Proving $\partial (A \cap B) \subset \partial(A) \cup \partial(B)$ using cases

Published on 14 Apr 2026 - 17:40

81

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Flaw in conditional expectation shortcut

Published on 11 Apr 2026 - 23:25

165

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Proof check of the following statement: if $f$ is continuous on $[a,b]$, then $f([a,b])$ is bounded above

Published on 15 Apr 2026 - 17:59

90

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Describe the set of complex numbers (locus) $z$ such that $z(1-z)$ is a real number.

Published on 15 Apr 2026 - 14:17

41

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Is this proof for the divisibility constraint $\sigma(q^k)/2 \mid n$ correct, where $q^k n^2$ is an odd perfect number with special prime $q$?

Published on 26 Mar 2026 - 13:45

65

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Why is the following "proof" false?

Published on 26 Mar 2026 - 1:02

62

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Show that this function is $C^1$ class.

Published on 16 Apr 2026 - 12:46

64

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Factorise $x^5-x$ in $\mathbb{C}[x]$ and $\mathbb{R}[x]$

Published on 16 Apr 2026 - 0:22

56

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Galois extension $\mathbb Q(1/2+\sqrt{-3}/2)/\mathbb Q$

Published on 16 Apr 2026 - 16:31

247

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Find all solutions of the equation $4(\overline{z})^4+z^2=0$

Published on 21 Apr 2026 - 0:07

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Need help with verifying if a proof i did is correct.

Show that there exists a $λ ∈ K$ such that $l(A) = λtrace(A)$ for all $A ∈ Mat_{n,n}(K)$

General Spectral Mapping Theorem

Exercise 5, Section 1.2 of Hungerford’s Abstract Algebra

Proving $\partial (A \cap B) \subset \partial(A) \cup \partial(B)$ using cases

Flaw in conditional expectation shortcut

Proof check of the following statement: if $f$ is continuous on $[a,b]$, then $f([a,b])$ is bounded above

Describe the set of complex numbers (locus) $z$ such that $z(1-z)$ is a real number.

Is this proof for the divisibility constraint $\sigma(q^k)/2 \mid n$ correct, where $q^k n^2$ is an odd perfect number with special prime $q$?

Why is the following "proof" false?

Show that this function is $C^1$ class.

Factorise $x^5-x$ in $\mathbb{C}[x]$ and $\mathbb{R}[x]$

Galois extension $\mathbb Q(1/2+\sqrt{-3}/2)/\mathbb Q$

Find all solutions of the equation $4(\overline{z})^4+z^2=0$

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