List questions from complex-numbers

Published on 29 Nov 2018 - 14:41

410

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General solution to complex number to complex power in complex form

Published on 28 Mar 2026 - 13:32

40

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Understanding the change in $\arg(z-i)$ around a closed curve containing the point $i$.

Published on 29 Nov 2018 - 21:33

209

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Why does Wolfram Alpha give $\sum_{n=1}^{\infty}(e^i)^{n^2}\approx9.92988+1.76807i$?

Published on 25 Mar 2026 - 7:43

118

Views

Row reducing matrices to obtain the eigenvector

Published on 02 Apr 2026 - 20:27

58

Views

Solving for an matrix containing complex numbers

Published on 30 Nov 2018 - 2:57

812

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Why is sum of complex slopes zero for perpendicular lines?

Published on 30 Nov 2018 - 15:34

20

Views

How to show that $f_1(z) = -f_2(z)$, where $f_1$ and $f_2$ are the square root functions with different branches?

Published on 30 Nov 2018 - 17:37

604

Views

Is this a pure imaginary number or real number?

Published on 30 Nov 2018 - 22:33

277

Views

Question based on binomial theorem and complex numbers.

Published on 27 Mar 2026 - 5:34

57

Views

Problem in complex number multiplication

Published on 02 Apr 2026 - 7:36

59

Views

Solving advanced complex inequalities

Published on 01 Dec 2018 - 15:43

39

Views

Choosing a complex square root

Published on 26 Mar 2026 - 17:34

81

Views

How to factorize $zz^-4z-4z^+12=0$ (where $z^*$ is the complex conjugate of $z$)

Published on 27 Mar 2026 - 23:48

62

Views

Proving the square root of $z\in \mathbb{C}$ geometrically

Published on 01 Apr 2026 - 2:58

List Question

Is $|z\bar{z}^{-1}|=1,z\in\mathbb{C}$?

General solution to complex number to complex power in complex form

Understanding the change in $\arg(z-i)$ around a closed curve containing the point $i$.

Why does Wolfram Alpha give $\sum_{n=1}^{\infty}(e^i)^{n^2}\approx9.92988+1.76807i$?

Row reducing matrices to obtain the eigenvector

Solving for an matrix containing complex numbers

Why is sum of complex slopes zero for perpendicular lines?

How to show that $f_1(z) = -f_2(z)$, where $f_1$ and $f_2$ are the square root functions with different branches?

Is this a pure imaginary number or real number?

Question based on binomial theorem and complex numbers.

Problem in complex number multiplication

Solving advanced complex inequalities

Choosing a complex square root

How to factorize $zz^-4z-4z^+12=0$ (where $z^*$ is the complex conjugate of $z$)

Proving the square root of $z\in \mathbb{C}$ geometrically

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