List questions from matrix-calculus

Published on 25 Mar 2026 - 9:08

566

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Matrix gradient of $\ln(\det(X))$

Published on 12 Jun 2018 - 4:36

36

Views

How to find a basis for a subspace?

Published on 12 Jun 2018 - 14:17

294

Views

How do I compute the matrix gradient with respect to a submatrix by applying the chain rule?

Published on 25 Mar 2026 - 9:09

63

Views

Derivative of Product of Scalar Equation and Matrix with Respect to a Vector

Published on 14 Jun 2018 - 23:29

171

Views

Show that $\log(\det(H_1)) ≤ \log(\det(H_2)) + \operatorname{tr}[H^{-1}_2H_1]−N$ for all positive semidefinite matrices $H_1,H_2 \in C^N$

Published on 25 Mar 2026 - 12:50

74

Views

How to find solutions of a matrix

Published on 16 Jun 2018 - 9:40

222

Views

How to arrive at $ \frac{\partial }{\partial X} \log(\mathrm{det}(I + A X B^\top )) = A^\top (I +B X^\top A^\top )^{-1} B$?

Published on 16 Jun 2018 - 11:19

209

Views

Finding values of a matrix to make it consistent

Published on 17 Jun 2018 - 17:37

97

Views

How to solve for differentials to find Jacobian in system of equations?

Published on 18 Jun 2018 - 5:03

110

Views

Derivative of trace of $A^\top A$

Published on 24 Mar 2026 - 23:46

76

Views

Condition for a system state to shrink

Published on 19 Jun 2018 - 2:04

180

Views

Make a square matrix singular through differentiation

Published on 25 Mar 2026 - 7:38

3k

Views

How to find the values of a matrix that make it consistent?

Published on 19 Jun 2018 - 18:24

634

Views

Derivative of cross-product of two vectors with respect to vector

Published on 25 Mar 2026 - 13:56

List Question

confusion with chain rule - derivative of scalar by vector

Matrix gradient of $\ln(\det(X))$

How to find a basis for a subspace?

How do I compute the matrix gradient with respect to a submatrix by applying the chain rule?

Derivative of Product of Scalar Equation and Matrix with Respect to a Vector

Show that $\log(\det(H_1)) ≤ \log(\det(H_2)) + \operatorname{tr}[H^{-1}_2H_1]−N$ for all positive semidefinite matrices $H_1,H_2 \in C^N$

How to find solutions of a matrix

How to arrive at $ \frac{\partial }{\partial X} \log(\mathrm{det}(I + A X B^\top )) = A^\top (I +B X^\top A^\top )^{-1} B$?

Finding values of a matrix to make it consistent

How to solve for differentials to find Jacobian in system of equations?

Derivative of trace of $A^\top A$

Condition for a system state to shrink

Make a square matrix singular through differentiation

How to find the values of a matrix that make it consistent?

Derivative of cross-product of two vectors with respect to vector

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