List questions from matrix-calculus

Published on 08 Apr 2026 - 18:44

1k

Views

Dimension of vector space and span

Published on 15 Apr 2026 - 20:49

183

Views

If $f(x)=g(a^Tx)$, where $g:\mathbb{R}\to\mathbb{R}$ and $a, x\in\mathbb{R}^n$, why is the Hessian equal to $g''(a^Tx)aa^T$?

Published on 15 Apr 2026 - 23:19

43

Views

backprobagation of linear solve

Published on 11 Apr 2026 - 9:35

165

Views

Finding gradient of $\det(\mathbf{\Sigma})^{\frac{-1}{2}}$ with respect to $\mathbf{\Sigma}$ (a Covariance matrix)

Published on 15 Apr 2026 - 21:14

33

Views

Computing scalar derivative by chain rule with matrix intermediary

Published on 09 Apr 2026 - 19:47

713

Views

Derivative of the Determinant of a Matrix

Published on 16 Apr 2026 - 7:58

268

Views

Prove $\frac{d}{dt} \Big|_{t=0}\mbox{tr}(e^{X+tY})=\mbox{tr}(e^XY)$

Published on 15 Apr 2026 - 18:03

157

Views

Derivative of symmetric inverse of a matrix

Published on 14 Apr 2026 - 23:37

341

Views

Row-wise derivative of a vector with respect to a matrix

Published on 15 Apr 2026 - 3:46

232

Views

How to calculate eigenvectors of a covariance matrix

Published on 10 Apr 2026 - 16:52

159

Views

Upper bounds for Lyapunov equation

Published on 09 Apr 2026 - 0:34

33

Views

Weird expression for matrix differentiation

Published on 11 Apr 2026 - 8:10

262

Views

Difficult matrix equation $A(x-x_0) + \alpha\left(\frac{\Sigma x}{\mu^\top x}\right) = 0$

Published on 16 Apr 2026 - 10:16

60

Views

Evaluating a specific integral over the unitary group

Published on 12 Apr 2026 - 6:49

List Question

Is there a rigorous definition for matrix derivatives?

Dimension of vector space and span

If $f(x)=g(a^Tx)$, where $g:\mathbb{R}\to\mathbb{R}$ and $a, x\in\mathbb{R}^n$, why is the Hessian equal to $g''(a^Tx)aa^T$?

backprobagation of linear solve

Finding gradient of $\det(\mathbf{\Sigma})^{\frac{-1}{2}}$ with respect to $\mathbf{\Sigma}$ (a Covariance matrix)

Computing scalar derivative by chain rule with matrix intermediary

Derivative of the Determinant of a Matrix

Prove $\frac{d}{dt} \Big|_{t=0}\mbox{tr}(e^{X+tY})=\mbox{tr}(e^XY)$

Derivative of symmetric inverse of a matrix

Row-wise derivative of a vector with respect to a matrix

How to calculate eigenvectors of a covariance matrix

Upper bounds for Lyapunov equation

Weird expression for matrix differentiation

Difficult matrix equation $A(x-x_0) + \alpha\left(\frac{\Sigma x}{\mu^\top x}\right) = 0$

Evaluating a specific integral over the unitary group

Trending Questions

Popular # Hahtags

Popular Questions