Show that $\text{trace}(A^TA) \ge 0$ and $\text{trace}(A^TA)$ if and only if $A = O$
47829
Prove that $\operatorname{trace}(A^TA) = 0\ \iff\ A = 0$.
64932
Show that $\lim_{x\to a^{+}} g(x) =g(a)$
61274
If $AA^T$ is the zero matrix, then $A$ is the zero matrix
33903
Prove that $(1+a_1) \cdot (1+a_2) \cdot \dots \cdot (1+a_n) \geq 2^n$
7843
Show that order of $a^k$
154459
Constructing a HoTT proof term of 1≠0
66610
Finding a correspondence between $\{0,1\}^A$ and $\mathcal P(A)$
76685
Determine $\text{Aut}(S)$ where $S = \mathbb{Q}[x]/(x^2)$
118467
Prove that $a^2+ab+b^2\ge 0$
106398
If $A$ is invertible show that $\det(A) \neq 0$
94727
When the trace of the Frobenius homomorphism is zero?
65162
Show that $\dim H^0(\mathbb{P}^n, \mathcal{O}_{\mathbb{P}^n}(m)) = {n + m \choose n}$ if $m \geq 0$, and $0$ otherwise.
78307
Under what conditions is $AA^T$ invertible?
129476
The trace map in a finite field.
71437
How is the derivative of $\textrm{Trace}\left\{ X^T A X B\right\}$ with respect to $X$ equal to $AXB + A^TXB^T$?
29583
Characterization of the trace function
124827
Show that $Y\sim N(a+A\mu,AVA^T)$