List questions from complex-numbers

Published on 28 Mar 2026 - 12:48

63

Views

why is $e^{\frac{\pi i}{3}}$ a root of $f(x) = x^{2}-x+1$?

Published on 27 Mar 2026 - 16:09

169

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Find $f(z)$ given the modulus

Published on 14 Apr 2026 - 17:07

60

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Is these integral true or WA wrong?

Published on 13 Apr 2026 - 23:27

130

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Does $\big(\cos\frac{\pi}4+i\sin\frac{\pi}4\big)^n = \cos\frac{n\pi}4+i\sin\frac{n\pi}4$ for all $n$?

Published on 16 Apr 2026 - 15:32

45

Views

Complex Numbers: How do I evaluate $(−1/2 + j1/2) ^{−2/3}$ in the form of $z = re^{jθ}$?

Published on 16 Apr 2026 - 7:46

54

Views

Complex equality

Published on 11 Apr 2026 - 7:49

73

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Find maximum and minimum argument of $f(z)=(z^4-1)/4$ where $z$ belongs to square with vertices $\{1,i,-1,-i\}$

Published on 15 Apr 2026 - 11:02

80

Views

Complex exponentiation property

Published on 12 Apr 2026 - 12:59

62

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Isomorphism Orbits of $\mathbb{C}^k$

Published on 13 Apr 2026 - 23:29

61

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Factorizing $x^2+y^2+1$

Published on 16 Apr 2026 - 22:49

62

Views

Convergence of infinite product 2

Published on 12 Apr 2026 - 15:34

718

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Points $A(u)$, $B(v)$ and $C(z)$ in Argand diagram. Find $z$, given $BC=2AB$ and $\angle ABC=90^\circ$,$u=1+2{\sqrt{3}}i,\>v=3+2i$

Published on 16 Apr 2026 - 4:23

744

Views

Determine complex numbers represented by points common to loci $|z| = 5$ and $|z-5|=|z|$

Published on 26 Mar 2026 - 3:12

1k

Views

A few holes understanding stability of a linear system (control theory)

Published on 26 Mar 2026 - 1:34

List Question

connections between eigenvalues of $B$ and $A+iB$

why is $e^{\frac{\pi i}{3}}$ a root of $f(x) = x^{2}-x+1$?

Find $f(z)$ given the modulus

Is these integral true or WA wrong?

Does $\big(\cos\frac{\pi}4+i\sin\frac{\pi}4\big)^n = \cos\frac{n\pi}4+i\sin\frac{n\pi}4$ for all $n$?

Complex Numbers: How do I evaluate $(−1/2 + j1/2) ^{−2/3}$ in the form of $z = re^{jθ}$?

Complex equality

Find maximum and minimum argument of $f(z)=(z^4-1)/4$ where $z$ belongs to square with vertices $\{1,i,-1,-i\}$

Complex exponentiation property

Isomorphism Orbits of $\mathbb{C}^k$

Factorizing $x^2+y^2+1$

Convergence of infinite product 2

Points $A(u)$, $B(v)$ and $C(z)$ in Argand diagram. Find $z$, given $BC=2AB$ and $\angle ABC=90^\circ$,$u=1+2{\sqrt{3}}i,\>v=3+2i$

Determine complex numbers represented by points common to loci $|z| = 5$ and $|z-5|=|z|$

A few holes understanding stability of a linear system (control theory)

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