query: Differentiating $\mbox{tr} (ABA^TC)$ w.r.t. $A$
positive_passages.docid: 13020
positive_passages.text: Proof for the funky trace derivative : $d (\operatorname{trace} (ABA'C))$?
negative_passages.docid: 17267
negative_passages.text: Interchanging the order of differentiation and summation
negative_passages.docid: 78307
negative_passages.text: Under what conditions is $AA^T$ invertible?
negative_passages.docid: 28096
negative_passages.text: Finding the derivative of $x\uparrow\uparrow n$
negative_passages.docid: 55488
negative_passages.text: Proving that $\operatorname{codim}(X,Y)=\dim(\mathcal{O}_{X,\eta})$
negative_passages.docid: 155884
negative_passages.text: What are the conditions on $\text{tr}(AB) \leq \text{tr(A)} \text{tr(B)}$ to be true?
negative_passages.docid: 31089
negative_passages.text: Differentiating expressions with division in them
negative_passages.docid: 144323
negative_passages.text: Differentiation of a function
negative_passages.docid: 68538
negative_passages.text: Show that if $ A(t) \in \mathbb{R ^{n×n}}$ is a differentiable function of $t$ then $\frac{d(det A(t))}{dt}$
negative_passages.docid: 71437
negative_passages.text: How is the derivative of $\textrm{Trace}\left\{ X^T A X B\right\}$ with respect to $X$ equal to $AXB + A^TXB^T$?
negative_passages.docid: 155974
negative_passages.text: Show $||Tx||_2 \leq ||(v_n)||_2 \cdot ||x||_{\infty}$
negative_passages.docid: 127114
negative_passages.text: Differentiability implying continuity
negative_passages.docid: 70468
negative_passages.text: Row space and column space of $A^T A$ and $A A^T$
negative_passages.docid: 73073
negative_passages.text: Differentiating $y=x^{2}$
negative_passages.docid: 39057
negative_passages.text: Check the differentiablity of $\theta :\mathbb R^2 \setminus\{(0,0)\}\to \mathbb R$
negative_passages.docid: 75009
negative_passages.text: $A = \bigcap_{\mathfrak{p} \in \text{Spec(A)}} A_{\mathfrak{p}} = \bigcap_{\mathfrak{m} \in \text{MaxSpec(A)}} A_{\mathfrak{m}}$
negative_passages.docid: 20581
negative_passages.text: How to show that $\Gamma\vdash (\varphi\to\neg\varphi)\to\varphi$?