If $B^3 = O$ does it mean that $B = O$?
44596
If $A$ is a square matrix and $A^2 = 0$ then $A=0$. Is this true? If not, provide a counter-example.
66563
Is $ (A∪B)×(C∩D)=(A∪C)×(B∪D)$ true for all sets A,B,C and D?
102742
order $a$ = 5, $a^3b = ba^3$. show that that $ab = ba$.
111763
True or False $A - C = B - C $ if and only if $A \cup C = B \cup C$
82938
$\gcd(a,b)=1, x^a = y^b\Rightarrow x = n^b$, $ y = n^a$ for an integer $n$.
153355
Given $S \in B(Y^{*}, X^{*})$, does there exist $T\in B(X,Y)$ such that $S=T^{*}$?
92975
Does $a^n \mid b^n$ imply $a\mid b$?
153290
$A^TA=B^TB$. Is $A=QB$ for some orthogonal $Q$?
150438
Binomial theorem for non integers ? O_o ??
157087
Can anyone explain why $a^{b^c} = a^{(b^c)} \neq (a^b)^c = a^{(bc)}$
140829
What does $b_i\mid b_{i+1}$ mean in this context?
3301
If $AB = I$ then $BA = I$
36314
If $Ax = Bx$ for all $x \in C^{n}$, then $A = B$.
71717
Is this always true: $P(A|B) = 1-P(A^c|B)$?
8815
What is the difference between Θ(n) and O(n)?
141799
Is $2^{|\mathbb{N}|} = |\mathbb{R}|$?
3838
If a group satisfies $x^3=1$ for all $x$, is it necessarily abelian?