$C$ Hermitian, show $\text{Tr}(C)=0 \iff \exists P,Q \text{ Hermitian s.t.} \,\, PQ-QP=iC$
75796
Is every skew-adjoint matrix a commutator of two self-adjoint matrices
92774
Prove that a linear subspace of $C([0,1])$ is closed
38850
How to show Von Neumann Trace inequality $ \text{Tr}(AB) \leq \sum_{i=1}^n \sigma_{A,i}\sigma_{B,i} $?
9143
Solve $u_{xx}-3u_{xt}-4u_{tt}=0$ where $u(x,0)=x^2$ and $u_t(x,0)=e^x$
130253
Differentiating $\mbox{tr} (ABA^TC)$ w.r.t. $A$
115583
prove that $a^2(p-q)(p-r)+b^2(q-p)(q-r)+c^2(r-p)(r-q)\ge 0$
3682
If $V = \text{null}(\textsf{T}-\lambda\textsf{I}) \oplus \text{range}(\textsf{T}-\lambda\textsf{I})$, then prove that $\textsf{T}$ is diagonalizable
115726
For $p,q$ prime and $p \neq q$ show that $C_p \times C_q \cong C_{pq}$
36090
$TT^*=T^2$, show that $T$ is self-adjoint
48563
If $\Gamma^k_{ij}(p)=0$, then $\nabla_{E_i}E_j (p)=0?$
94383
Prove that $A^TD-C^TB=I$
7813
In a complex vector space, $\langle Tx,x \rangle=0 \implies T = 0$
149822
If $\omega \in \Omega^q(M)$, and $(\omega|_{U})_p = 0$, is $\omega_p = 0$?
127719
Is the matrix $R$ in the $QR$ decomposition unique?
56943
Normal operator with real spectrum is hermitian.
23071
Showing that $f_0 (x_1, \ldots, x_m) \mathrm tr A =\displaystyle{ \sum_{i=1}^n} f_0(x_1, \ldots, Ax_i,\ldots, x_m)$
95774
$\frac{\partial^2 u}{\partial t^2}-c^2\frac{\partial^2u}{\partial x^2}=0\text{ implies } \frac{\partial^2 u}{\partial z \partial y}=0$