Why represent a complex number $a+ib$ as $[\begin{smallmatrix}a & -b\\ b & \hphantom{-}a\end{smallmatrix}]$?
105727
Why is the complex number $z=a+bi$ equivalent to the matrix form $\left(\begin{smallmatrix}a &-b\\b&a\end{smallmatrix}\right)$
120895
Converting complex number raised to a power to polar form
47313
What is $i^i$ and $(i^i)^i$
112348
Defining the Complex numbers
11119
What are imaginary numbers?
150320
Why does $a^{b}·a^{c}=a^{b+c}$?
62030
$A^2=A^*A$. Why is matrix $A$ Hermitian?
79808
Prove the representation of complex numbers is parallelogram
17620
Why the principal value of complex number argument is taken within $(-\pi,\pi]?$
9737
Complex number operations: telling Mathematica variables are real
143123
finding an argument of a complex number
71566
Positive and negative complex numbers?
78118
Algebraically, why is $\mathbb{Z}[i]/(i + 1)$ isomorphic to $\mathbb{Z}_{2}$?
23265
"Where" exactly are complex numbers used "in the real world"?
77989
What are the rules for complex-component vectors and why?
104075
Cube roots of the complex numbers 1+i?
34252
$ z^n = a_n + b_ni $ Show that $ b_{n+2} - 2b_{n+1} + 5b_n = 0 $ (complex numbers)