Why does $rank(A) \ge \dfrac{{{{(trA)}^2}}}{{(tr{A^2})}}$?
65062
Prove $\text{rank}(A) \geq \frac{(\text{tr}(A))^2}{\text{tr}(A^2)}$ when $A$ is Hermitian
20581
How to show that $\Gamma\vdash (\varphi\to\neg\varphi)\to\varphi$?
121264
Prove that rank $(g \circ f)\le \min[\operatorname{rank}(f),\operatorname{rank}(g)]$; $g$ and $f$ are linear mappings
118212
Is it true that $A^A\simeq P(A)$?
81868
How to prove $\operatorname{Tr}(AB) = \operatorname{Tr}(BA)$?
67234
The function $G: x \mapsto 2^{x^2}$ maps $\mathbb{R}$ onto $\{ x \in \mathbb{R} : x \geq 1 \}$
15197
Relation between trace and rank for projection matrices
148954
Understanding a statement about equivalent norms ($||\cdot ||_2 \sim||\cdot||_1 $)
69606
How to prove rank(A+) is no more than rank(A)?
147627
Relation between condition numbers $\kappa(A^T A)$ and $\kappa(A)$
130253
Differentiating $\mbox{tr} (ABA^TC)$ w.r.t. $A$
32280
Meaning of $\geqslant$, $\leqslant$, $\eqslantgtr$, $\eqslantless$
158406
$A,B$ be Hermitian.Is this true that $tr[(AB)^2]\le tr(A^2B^2)$?
46825
The identity det(A) = exp(Tr(ln(A)) for A general
41436
rank of complex conjugate transpose matrix property proof
63036
Proving that $\dim(\mathrm{span}({I_n,A,A^2,...})) \leq n$
63344
Why is $\underbrace {i^{i^{i^{.^{.^{.^{i}}}}}}}_{n \ times}$ converging?