What is the best way to introduce for students the new mathematical definition : ‎$i^2=-1 ‎$?
87165
How can I introduce complex numbers to precalculus students?
60900
If $A^2=-I$, Prove that $\det{A}=1$
45037
Show $(2^m-1,2^n+1)=1$ if $m$ is odd
97952
Square root of 1 is (not) -1
76610
Show that $f^{-1}(A \cup B) = f^{-1}(A) \cup f^{-1}(B)$
134075
Inverse of $A^{-1}+B^{-1}$
35856
Refining my knowledge of the imaginary number
12217
What is so special about $\alpha=-1$ in the integral of $x^\alpha$?
71566
Positive and negative complex numbers?
141476
How to explain the commutativity of multiplication to middle school students?
89056
Intuitive understanding of ideal $I = (x+1,x^2+1)$ and the quotient $\Bbb Z[x]/I$
11506
Alternative proof that $(a^2+b^2)/(ab+1)$ is a square when it's an integer
27742
What does "${-#*i}" != "$-" mean?
140459
Why is $\left(e^{2\pi i}\right)^i \neq e^{-2 \pi}$?
143281
How to solve $z^2-(1-3i)z-2i-2=0$
57416
Fibonacci identity: $f_{n-1}f_{n+1} - f_{n}^2 = (-1)^n$
28502
How to solve $x^3=-1$?