How to show $\frac{d}{dt}(\det(I+At)=\text{Tr}(A)$?
53466
derivative of a determinant of matrix
133847
Derivative of determinant of a matrix
106398
If $A$ is invertible show that $\det(A) \neq 0$
152932
Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
81258
Evaluation of $\int_{-\infty}^\infty \frac{\sin(at)}t\ dt$
114505
Initial value problem $t\frac{dx}{dt}=x+\sqrt{t^2+x^2}$
72351
Applying integral substitution rule to $ \int \frac{mx+n}{ax+b} \mathrm{d}x$
130253
Differentiating $\mbox{tr} (ABA^TC)$ w.r.t. $A$
55056
To show: $\det\left[\begin{smallmatrix} -bc & b^2+bc & c^2+bc\\ a^2+ac & -ac & c^2+ac \\ a^2+ab & b^2+ab & -ab \end{smallmatrix}\right]=(ab+bc+ca)^3$
71442
How to prove $\det(I+uv^\intercal)=1+v^\intercal u$
46825
The identity det(A) = exp(Tr(ln(A)) for A general
101861
How do you prove that $tr(B^{T} A )$ is a inner product?
10083
Determinant of matrix times a constant.
104258
Proof Verification: $\dim\mathrm{Im} T+\dim\ker T=\dim V$
125030
Prove that $\det(A)=p_1p_2-ba={bf(a)-af(b)\over b-a}$
49203
Evaluating $\int \sqrt{1 + t^2} dt$?
53917
Determinant of matrix exponential?