$\log(\det A) = tr(\log(A))$?
46825
The identity det(A) = exp(Tr(ln(A)) for A general
63119
Let $M=\big( \begin{smallmatrix} A & B \\ C & D \end{smallmatrix} \big)$. Prove $\det(M)=\det(A)\cdot \det(D-C·A^{-1}·B)$.
125030
Prove that $\det(A)=p_1p_2-ba={bf(a)-af(b)\over b-a}$
30836
Derivative of a determinant whose entries are functions
60900
If $A^2=-I$, Prove that $\det{A}=1$
57771
Let $A\in M_{n\times n}(\Bbb R)$ so that $I\notin span(A,A^2,...,A^n)$. Prove that $\det(A)=0$.
10083
Determinant of matrix times a constant.
65062
Prove $\text{rank}(A) \geq \frac{(\text{tr}(A))^2}{\text{tr}(A^2)}$ when $A$ is Hermitian
100801
A $\log \Gamma $ identity: Where does it come from?
125348
Does $\det(A + B) = \det(A) + \det(B)$ hold?
22687
Proof of the power rule for logarithms
94383
Prove that $A^TD-C^TB=I$
12401
Is it standard to say $-i \log(-1)$ is $\pi$?
155884
What are the conditions on $\text{tr}(AB) \leq \text{tr(A)} \text{tr(B)}$ to be true?
139742
Bounding the integral $\int_{2}^{x} \frac{\mathrm dt}{\log^{n}{t}}$
121767
Why $\det(A^{-1}) = 1/\det(A)$?
149889
Prove that $|\log(1 + x^2) - \log(1 + y^2)| \le |x-y|$