Is it true that $|a-b|<t \Longrightarrow |a|<|b|+t$
67483
Show that $|a-b|<\epsilon \Rightarrow |a|<|b|+\epsilon$
77667
A and B is similar ⇒ $A^T$ is similar to $B^T$.
100549
If $e^A$ and $e^B$ commute, do $A$ and $B$ commute?
33542
When is $A- B = B- A$?
158355
If $A$ commutes with $B$ and $B$ commutes with $C$, then $A$ commutes with $C$
154822
Properties of the composition law $a @ b= ab + b + a$ on the real numbers
80255
How to prove that $|a-b|<\epsilon$ implies $|b|-\epsilon<|a|<|b|+\epsilon$?
81775
Prove $a^\alpha b^{1-\alpha} \le \alpha a + (1 - \alpha)b, \; a,b > 0,\; 0 < \alpha < 1$
87265
If $(A-\lambda{I})$ is $\lambda$-equivalent to $(B-\lambda{I})$ then $A$ is similar to $B$
52249
Is it true that $||a|^p - |b|^p| \le C_p|a - b|^p$ for $1 < p < \infty$?
81618
Prove $||a|-|b| | \leq |a-b|$
83713
If $z,w\in \mathbb{C}^{\times}$, then $|z+w|=|z|+|w|$ iff $w=tz$ for some $t\gt 0$
62770
Does $a\mid bc$ imply $a\mid b$ or $a\mid c$?
15104
Show that $\big|\frac{a-b}{1-\overline{a}b}\big|=1$, when either $|a|=1$ or $|b|=1$.
21737
If $A|B$ and $B|A$ then prove $A=\pm B$
77510
$\sum_{1}^{n}\left ( a_{i}b_{i} \right )\geq \prod_{1}^{n}\left ( a_{i}^{b_{i}} \right )$
20110
How to prove $(AB)^T=B^T A^T$