Does $A^2$ similar to $B^2$ imply that $A$ is similar to $B$?
139685
If $A^2$ and $B^2$ are similar matrices, do $A$ and $B$ have to be similar?
17032
If $ab=ba$, Prove $a^2$ commutes with $b^2$
63920
Does the fact that matrices $A, B$ are similar imply that $A+cI$ is similar to $B+cI$?
65224
Prove that if $a^2 = a$ for all elements of the ring $R$, then $R$ has characteristic 2. Is the converse of the statement true?
21006
Let $a,b$ be positive integers such that $a\mid b^2 , b^2\mid a^3 , a^3\mid b^4 \ldots$ so on , then $a=b$?
15908
Is it true that $\int_{a}^b h^2=0\implies h=0$?
48211
When is $(a+b)^n \equiv a^n+b^n$?
33542
When is $A- B = B- A$?
15626
Relations of a~b iff b = ak^2
98921
Does $y(y+1) \leq (x+1)^2$ imply $y(y-1) \leq x^2$?
100549
If $e^A$ and $e^B$ commute, do $A$ and $B$ commute?
15191
If $a^2$ divides $b^2$, then $a$ divides $b$
102777
Is $G^{(X, Y)} = (G^X)^Y?$ ($A^B$ just means that $B$ is mapped to $A$)
113168
If $a > b$, is $a^2 > b^2$?
110661
When does $\sqrt{a b} = \sqrt{a} \sqrt{b}$?
59442
Are there $a,b>1$ with $a^4\equiv 1 \pmod{b^2}$ and $b^4\equiv1 \pmod{a^2}$?
5250
Are $T\mathbb{S}^2$ and $\mathbb{S}^2 \times \mathbb{R}^2$ different?