How do I show that the derivative of the path $\det(I + tA)$ at $t = 0$ is the trace of $A$?
53466
derivative of a determinant of matrix
111611
When can we add a total time derivative of $f(q, \dot{q}, t)$ to a Lagrangian?
60900
If $A^2=-I$, Prove that $\det{A}=1$
33190
Show that the complex integral is zero for any closed, piece wise smooth path
46567
Derivatives of inverse matrix
18670
What is the gradient of $x^T A\, x$ with respect to the matrix $A$?
36990
Notation of the second derivative - Where does the d go?
84775
How to evaluate $\det (1+x_iy_j)_{n\times n}$?
22149
How to prove $dim(Ker (A- \lambda I))=dim (Ker(A^t- \lambda I))$?
91251
$n$th derivative of $e^{ax}\sin(bx+c)$
15865
Show that $X = \{ (x,y) \in\mathbb{R}^2\mid x \in \mathbb{Q}\text{ or }y \in \mathbb{Q}\}$ is path connected.
103061
Why is it true that $\mathrm{adj}(A)A = \det(A) \cdot I$?
75855
Show that $\det{(A + sxy^*)}$ is linear in $s$
81181
Prove that $\det(M-I)=0$ if $\det(M)=1$ and $MM^T=I$
130253
Differentiating $\mbox{tr} (ABA^TC)$ w.r.t. $A$
69378
The derivative of $x!$ and its continuity
105717
Trace of a commutator is zero - but what about the commutator of $x$ and $p$?