List questions from matrix-calculus

Published on 08 Dec 2016 - 17:45

48

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Differential of matrix $yy^{T}$

Published on 08 Dec 2016 - 18:07

3.6k

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Derivation of normal equation for linear least squares in matrix form

Published on 01 Apr 2026 - 13:48

87

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$\tiny M=\begin{bmatrix}1 & 1 &0\\0 & 1 & 1\\0 & 0 & 1\end{bmatrix}$ and $e^M$=$[a_{ij}]$. Then $\sum_{i=1}^3 \sum_{j=1}^{3}a_{ij}=?$

Published on 12 Dec 2016 - 11:32

605

Views

Computing the gradient of a function depending on the eigenvalue and eigenvector of a matrix.

Published on 13 Dec 2016 - 6:20

64

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Solving a system of equations for x that contains $x^Tx$ (where x is a vector)

Published on 13 Dec 2016 - 22:10

524

Views

$\frac{\partial}{\partial X^H} Tr ( X X^H X X ^H)$

Published on 18 Dec 2016 - 20:45

553

Views

Derivative of the determinant of the right stretch tensor

Published on 20 Dec 2016 - 12:03

1.1k

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Second derivative of the nuclear norm

Published on 25 Mar 2026 - 7:43

744

Views

Properties of matrix exponential and Lyapunov equation

Published on 26 Mar 2026 - 6:21

996

Views

How to compute the gradient of the softmax function w.r.t. matrix?

Published on 26 Mar 2026 - 9:16

215

Views

Matrix exponential versus Jordan blocks

Published on 27 Mar 2026 - 8:38

134

Views

Optimization problem with respect to two different variables (adjoint method)

Published on 04 Apr 2026 - 0:10

180

Views

Derivative of ${\lVert{ABC-D}\rVert}_F^2$ with respect to $B$

Published on 29 Mar 2026 - 14:02

2.4k

Views

Product rule for matrices

Published on 02 Jan 2017 - 9:44

List Question

How do I calculate the invertibility of a linear transformation defined by a matrix?

Differential of matrix $yy^{T}$

Derivation of normal equation for linear least squares in matrix form

$\tiny M=\begin{bmatrix}1 & 1 &0\\0 & 1 & 1\\0 & 0 & 1\end{bmatrix}$ and $e^M$=$[a_{ij}]$. Then $\sum_{i=1}^3 \sum_{j=1}^{3}a_{ij}=?$

Computing the gradient of a function depending on the eigenvalue and eigenvector of a matrix.

Solving a system of equations for x that contains $x^Tx$ (where x is a vector)

$\frac{\partial}{\partial X^H} Tr ( X X^H X X ^H)$

Derivative of the determinant of the right stretch tensor

Second derivative of the nuclear norm

Properties of matrix exponential and Lyapunov equation

How to compute the gradient of the softmax function w.r.t. matrix?

Matrix exponential versus Jordan blocks

Optimization problem with respect to two different variables (adjoint method)

Derivative of ${\lVert{ABC-D}\rVert}_F^2$ with respect to $B$

Product rule for matrices

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