List questions from complex-numbers

Published on 15 Apr 2026 - 11:42

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$A$ is a square complex matrix. $A^k-A=0$ for some $k\geq 2$. Prove that $A$ is diagonalizable over $\mathbb C$

Published on 14 Apr 2026 - 3:37

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Is the derivative of $x^2 + C$?

Published on 16 Apr 2026 - 11:07

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A question about the log of a rational function

Published on 16 May 2026 - 1:48

244

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How do I solve equation $\bar{z} = |z|$ correctly?

Published on 09 Apr 2026 - 14:44

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Find the real and imaginary parts of an equation

Published on 14 Apr 2026 - 1:28

613

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Geometry Of Unitary Transformations

Published on 21 Apr 2026 - 20:42

605

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Why is the complex domain of cosine naturally a sphere?

Published on 10 May 2026 - 15:02

40

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Calculating the modulus

Published on 12 Apr 2026 - 3:03

165

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How to evaluate $x^6+x^4+x^3+x^2+1=0$?

Published on 15 Apr 2026 - 18:36

185

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Geometrical Complex Numbers Question - Equilateral Triangle

Published on 09 Apr 2026 - 0:04

130

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Geometric interpretation of the solution of the complex equation $z^4+z+2=0$

Published on 14 Apr 2026 - 7:08

142

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Counterfeit proof about $-\frac{3}{2} i \pi\log(2) = \pi^2 - \frac{1}{2} \pi i \log(2)$

Published on 16 Apr 2026 - 15:21

47

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Characterize an analytic function with restriction of its growth

Published on 08 Apr 2026 - 19:13

101

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Problem involving complex numbers and modules

Published on 10 Apr 2026 - 17:33

List Question

The real or purely imaginary solutions of the equation, $z^3+iz-1=0$ are?

$A$ is a square complex matrix. $A^k-A=0$ for some $k\geq 2$. Prove that $A$ is diagonalizable over $\mathbb C$

Is the derivative of $x^2 + C$?

A question about the log of a rational function

How do I solve equation $\bar{z} = |z|$ correctly?

Find the real and imaginary parts of an equation

Geometry Of Unitary Transformations

Why is the complex domain of cosine naturally a sphere?

Calculating the modulus

How to evaluate $x^6+x^4+x^3+x^2+1=0$?

Geometrical Complex Numbers Question - Equilateral Triangle

Geometric interpretation of the solution of the complex equation $z^4+z+2=0$

Counterfeit proof about $-\frac{3}{2} i \pi\log(2) = \pi^2 - \frac{1}{2} \pi i \log(2)$

Characterize an analytic function with restriction of its growth

Problem involving complex numbers and modules

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