query: Matrix differentiation, $x^T A x$ w.r.t $A$
positive_passages.docid: 18670
positive_passages.text: What is the gradient of $x^T A\, x$ with respect to the matrix $A$?
negative_passages.docid: 137209
negative_passages.text: Finding the Matrix of a Linear Operator Satisfying a Polynomial
negative_passages.docid: 108642
negative_passages.text: $e^A$, where $A= \begin{bmatrix} 0 & \omega \\ -\omega& 0 \end{bmatrix}$
negative_passages.docid: 58273
negative_passages.text: What justifies this calculation of the derivative of a matrix function?
negative_passages.docid: 36775
negative_passages.text: Matrix semi-positive definite
negative_passages.docid: 128795
negative_passages.text: $n$th derivative of $e^x \sin x$
negative_passages.docid: 84385
negative_passages.text: Implicit differentiation
negative_passages.docid: 156438
negative_passages.text: Find a matrix equation equivalent to $A^TPA+P=I$
negative_passages.docid: 36567
negative_passages.text: $A^{T}A$ positive definite then A is invertible?
negative_passages.docid: 91251
negative_passages.text: $n$th derivative of $e^{ax}\sin(bx+c)$
negative_passages.docid: 46265
negative_passages.text: Minimal polynomial of the operator $T:V\oplus W\to V\oplus W$
negative_passages.docid: 15300
negative_passages.text: How to show that $(W^\bot)^\bot=W$ (in a finite dimensional vector space)
negative_passages.docid: 8970
negative_passages.text: Proving the cross product matrix tranformation identity with an alternative solution
negative_passages.docid: 149086
negative_passages.text: Determining $\mbox{tr}(A)$ and $\det(A)$ as functions of the eigenvalues of a matrix
negative_passages.docid: 125774
negative_passages.text: Derivative of $a^x$ from first principles
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: 3150
negative_passages.text: Is there an intuitive interpretation of $A^TA$ for a data matrix $A$?