List questions from complex-numbers

Published on 25 Mar 2026 - 20:35

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Find all solutions for $z^3 = -27$

Published on 16 Mar 2019 - 20:30

104

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Find all solutions to the equation $(z+1)^6=z^6$. Express the solutions in simplified rectangular form. Hint: Clearly $z=0$ is not a solution.

Published on 02 Apr 2026 - 9:27

299

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Solutions of $z=\dfrac{\sqrt{-21+20i}-\sqrt{-21-20i}}{\sqrt{-21+20i}+\sqrt{-21-20i}}$

Published on 16 Mar 2019 - 21:27

20

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Replacing non-negative entries of a complex diagonal matrix with zeros

Published on 17 Mar 2019 - 4:26

1.1k

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Multiplication of the square root of complex numbers

Published on 27 Mar 2026 - 22:04

64

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Convert Real and Imaginary part from FFT to bands

Published on 30 Mar 2026 - 4:51

308

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Finding a matrix representation of a linear transformation (polynomial basis to standard basis)

Published on 06 Apr 2026 - 2:13

38

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Let $a_n $ complex sequence prove that if $ a_n\to \infty$ then $|a_n|\to\infty$. Note that $a_n = x_n + y_ni$

Published on 17 Mar 2019 - 21:29

538

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Properties and applications of complex logarithms and exponentials.

Published on 26 Mar 2026 - 18:59

63

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What is the use of extension of the real and complex field?

Published on 06 Apr 2026 - 4:09

71

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If |w||z|=1, show w=1/z

Published on 20 Mar 2019 - 7:37

262

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Find all possible values $\sqrt{i}+\sqrt{-i}$

Published on 20 Mar 2019 - 10:24

327

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Optimization without complex numbers

Published on 27 Mar 2026 - 23:38

93

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Find a set of points in the given complex plane

Published on 26 Mar 2026 - 16:26

List Question

$\iota \equiv \pm 3, \pmod{10}$

Find all solutions for $z^3 = -27$

Find all solutions to the equation $(z+1)^6=z^6$. Express the solutions in simplified rectangular form. Hint: Clearly $z=0$ is not a solution.

Solutions of $z=\dfrac{\sqrt{-21+20i}-\sqrt{-21-20i}}{\sqrt{-21+20i}+\sqrt{-21-20i}}$

Replacing non-negative entries of a complex diagonal matrix with zeros

Multiplication of the square root of complex numbers

Convert Real and Imaginary part from FFT to bands

Finding a matrix representation of a linear transformation (polynomial basis to standard basis)

Let $a_n $ complex sequence prove that if $ a_n\to \infty$ then $|a_n|\to\infty$. Note that $a_n = x_n + y_ni$

Properties and applications of complex logarithms and exponentials.

What is the use of extension of the real and complex field?

If |w||z|=1, show w=1/z

Find all possible values $\sqrt{i}+\sqrt{-i}$

Optimization without complex numbers

Find a set of points in the given complex plane

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