List questions from complex-numbers

59

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If z=a+bi then f(z)=f(a+bi)=$e^{a+bi}=e^{a}e^{bi}$. For each of the following complex number find...

Published on 16 Jan 2018 - 12:50

986

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Conjugate quadratic equations

Published on 22 Mar 2026 - 19:04

80

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Complex numbers - prove |BD| + |CD| = |AD|

Published on 22 Mar 2026 - 4:46

4.4k

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Proving that a complex number is real

Published on 17 Mar 2026 - 7:12

519

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Prove or disprove that Arg(zw)=Arg(z)+Arg(w)

Published on 17 Mar 2026 - 21:27

38

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Proof for f must be a constant polynomial

Published on 22 Mar 2026 - 18:42

99

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Rewrite Matrix such that it has only real eigenvalues

Published on 20 Mar 2026 - 16:44

104

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How to prove that $\frac{1-z}{|1-z|}$ is a root of unity with $z=e^{i\frac{2\pi}{n}}$

Published on 20 Mar 2026 - 3:59

85

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Complex numbers in programming

Published on 19 Mar 2026 - 19:08

73

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Please, explain this problem to me, I got lost at the step where they turned the denominator into 1

Published on 17 Jan 2018 - 23:20

188

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Show that if $|a|=1$ or $|b|=1$, then $\left|\dfrac{a-b}{1-\overline{a}b}\right|\leq 1$

Published on 18 Jan 2018 - 0:52

1.1k

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Triangle in complex plane

Published on 16 Mar 2026 - 20:32

44

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Can anyone show that this equation is true?

Published on 17 Mar 2026 - 14:10

695

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Polynomial Equation Problem with Complex Roots

Published on 17 Mar 2026 - 10:07

321

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Show that $|\text{Re}(2+3z^2 +iz)| \leq 6$, when $|z|\leq 1$

Published on 17 Mar 2026 - 22:14

List Question

If z=a+bi then f(z)=f(a+bi)=$e^{a+bi}=e^{a}e^{bi}$. For each of the following complex number find...

Conjugate quadratic equations

Complex numbers - prove |BD| + |CD| = |AD|

Proving that a complex number is real

Prove or disprove that Arg(zw)=Arg(z)+Arg(w)

Proof for f must be a constant polynomial

Rewrite Matrix such that it has only real eigenvalues

How to prove that $\frac{1-z}{|1-z|}$ is a root of unity with $z=e^{i\frac{2\pi}{n}}$

Complex numbers in programming

Please, explain this problem to me, I got lost at the step where they turned the denominator into 1

Show that if $|a|=1$ or $|b|=1$, then $\left|\dfrac{a-b}{1-\overline{a}b}\right|\leq 1$

Triangle in complex plane

Can anyone show that this equation is true?

Polynomial Equation Problem with Complex Roots

Show that $|\text{Re}(2+3z^2 +iz)| \leq 6$, when $|z|\leq 1$

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