$A^{2n}=I$ but $A^{n}\neq I, -I$
106584
If $A^{2n}=I$, then $A^n=\pm I$ where $A\in M_n(\mathbb{R})$
55428
Inductive proof of $a_n = 3*2^{n-1} + 2(-1)^n$ if $a_n = a_{n-1} + 2*a_{n-2}, a_1 = 1, a_2 = 8$
34059
$(a^{2^n}+1,a^{2^m}+1)=1 or 2$
11857
$A$ be a complex $3\times 3$ matrix such that $A^3=-I$
69131
Different proofs of $\,a^n-b^n =(a-b)\sum_{i=0}^{n-1} a^i b^{n-1-i} $?
117533
$|A-\lambda I|$ and $|\lambda I-A|$
64747
If $A^m=I$ then A is Diagonalizable
118283
Show that if $A^{n}=I$ then $A$ is diagonalizable.
32929
Questions about proving $\lnot \lnot a = a$
105180
When does $(ab)^n = a^n b^n$ imply a group is abelian?
6012
Prove that $\gcd(a^n - 1, a^m - 1) = a^{\gcd(n, m)} - 1$
154085
$\sum a_i \ln(b_i) \leq \sum a_i \ln(a_i)$ with $\sum a_i = \sum b_i = 1$
47313
What is $i^i$ and $(i^i)^i$
147920
Infinite powering by $i$
36602
$a^m=b^m$ and $a^n=b^n$ imply $a=b$
123195
Prove by induction that a^n+a^-n is an integer.
98470
If $A \ne \varnothing$, then $\varnothing^A=\varnothing$