List questions from matrix-calculus

Published on 21 Jun 2018 - 4:34

49

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How to show that the following summation is true for matrix multiplication?

Published on 21 Jun 2018 - 6:13

56

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There exists a doubly stochastic matrix which maps a vector into any other vector with the same average value

Published on 21 Jun 2018 - 16:04

53

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How to obtain the following result?

Published on 25 Mar 2026 - 1:16

713

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Stuck on Jacobian matrix of $xx'Ax$

Published on 25 Mar 2026 - 3:07

170

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Does the equality $\mathbf{x^TBy}=\mathbf{y^TB^Tx}$ always hold?

Published on 22 Jun 2018 - 8:33

268

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matrix gradient of the Hadamard product

Published on 25 Mar 2026 - 14:13

100

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example of an inhomogenenous markov chain

Published on 23 Jun 2018 - 16:54

672

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Notion of derivative used in Petersen & Pedersen's Matrix Cookbook

Published on 25 Mar 2026 - 6:58

572

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Derivative of trace of matrix log: $\frac{\partial \ \mbox{tr}(AXB \ \mbox{log}(CXD))}{\partial X}$

Published on 24 Mar 2026 - 22:07

1.5k

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Second derivative of $\det(\mathbb{1}+tA)$?

Published on 25 Jun 2018 - 13:46

134

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Show that $\frac{\partial}{\partial X}X^{-1} = \left(-X^{-T} \otimes X^{-1}\right)$

Published on 26 Jun 2018 - 9:10

559

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Derivative/Gradient of log $l_1$ norm

Published on 27 Jun 2018 - 7:58

2.7k

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Derivative of matrix logarithm

Published on 30 Jun 2018 - 20:43

77

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Root test for matrix series via spectral radius?

Published on 25 Mar 2026 - 15:39

List Question

Where is my calculation wrong?

How to show that the following summation is true for matrix multiplication?

There exists a doubly stochastic matrix which maps a vector into any other vector with the same average value

How to obtain the following result?

Stuck on Jacobian matrix of $xx'Ax$

Does the equality $\mathbf{x^TBy}=\mathbf{y^TB^Tx}$ always hold?

matrix gradient of the Hadamard product

example of an inhomogenenous markov chain

Notion of derivative used in Petersen & Pedersen's Matrix Cookbook

Derivative of trace of matrix log: $\frac{\partial \ \mbox{tr}(AXB \ \mbox{log}(CXD))}{\partial X}$

Second derivative of $\det(\mathbb{1}+tA)$?

Show that $\frac{\partial}{\partial X}X^{-1} = \left(-X^{-T} \otimes X^{-1}\right)$

Derivative/Gradient of log $l_1$ norm

Derivative of matrix logarithm

Root test for matrix series via spectral radius?

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