List questions from matrix-calculus

Published on 05 Sep 2015 - 11:23

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First derivative of matrix expression

Published on 07 Sep 2015 - 11:22

468

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Calculate $\left|\frac{\text{d}}{\text{d}\mathbf{Y}}\left[A^{-1}\left(\mathbf{Y}-\boldsymbol{\mu}\right)\right]\right|$.

Published on 07 Sep 2015 - 13:22

57

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What does $\tan^{-2}\theta_i$ mean?

Published on 07 Sep 2015 - 13:45

48

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Positive semi-definiteness of $\sum_i \alpha_i x_ix_i^T$

Published on 07 Sep 2015 - 19:50

223

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First derivative of RVM related matrix expression

Published on 08 Sep 2015 - 10:54

47

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To show that the map $f:M_n(\mathbb R) \times M_n(\mathbb R) \to M_n(\mathbb R)$ given by $f(A,B)=AB$ is differentiable and evaluate the derivative

Published on 09 Sep 2015 - 9:38

67

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To show that the function $f:M_n(\mathbb R) \to M_n(\mathbb R)$ given by $f(A)=AA^t$ is differentiable and evaluate its derivative

Published on 09 Sep 2015 - 9:42

63

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To differentiate $f:GL_n(\mathbb R) \to GL_n(\mathbb R)$ given by $f(A)=A^{-1}$

Published on 09 Sep 2015 - 15:03

170

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Big matrix derivative

Published on 11 Sep 2015 - 14:37

555

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sum of all entries of the inverse matrix of a positive definite, symmetric matrix

Published on 12 Sep 2015 - 14:17

91

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Solve Equation from Table

Published on 14 Sep 2015 - 0:12

367

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Matrices with Parallel Column Differences

Published on 07 Apr 2026 - 22:36

2.1k

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Convexity of a trace of matrices with respect to diagonal elements

Published on 31 Mar 2026 - 14:28

2k

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Convex Optimization: Gradient of $\log \det (X)$

Published on 18 Sep 2015 - 0:54

List Question

Steps in derivative of matrix expression

First derivative of matrix expression

Calculate $\left|\frac{\text{d}}{\text{d}\mathbf{Y}}\left[A^{-1}\left(\mathbf{Y}-\boldsymbol{\mu}\right)\right]\right|$.

What does $\tan^{-2}\theta_i$ mean?

Positive semi-definiteness of $\sum_i \alpha_i x_ix_i^T$

First derivative of RVM related matrix expression

To show that the map $f:M_n(\mathbb R) \times M_n(\mathbb R) \to M_n(\mathbb R)$ given by $f(A,B)=AB$ is differentiable and evaluate the derivative

To show that the function $f:M_n(\mathbb R) \to M_n(\mathbb R)$ given by $f(A)=AA^t$ is differentiable and evaluate its derivative

To differentiate $f:GL_n(\mathbb R) \to GL_n(\mathbb R)$ given by $f(A)=A^{-1}$

Big matrix derivative

sum of all entries of the inverse matrix of a positive definite, symmetric matrix

Solve Equation from Table

Matrices with Parallel Column Differences

Convexity of a trace of matrices with respect to diagonal elements

Convex Optimization: Gradient of $\log \det (X)$

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