List questions from matrix-calculus

Published on 30 Mar 2019 - 7:21

868

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Derivative of a multivariate quadratic function

Published on 30 Mar 2019 - 9:23

4.5k

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Computing the derivative of $\|Ax\|_2$

Published on 26 Mar 2026 - 6:25

49

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Gradient of $-y^T \log \left(f \left(W x ; \gamma, \beta \right) \right)$ w.r.t. $\left\{W, \gamma, \beta\right\}$?

Published on 01 Apr 2019 - 9:37

247

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Maximal determinant of $3 \times 3$ matrix where sum of squared entries is $\leq 1$

Published on 01 Apr 2019 - 19:26

305

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Functions of vectors and vectors of functions

Published on 25 Mar 2026 - 11:16

37

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Why does derivative of sum(u) result in vector of 1s?

Published on 25 Mar 2026 - 12:54

609

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Derivative of a function of matrix

Published on 02 Apr 2019 - 17:49

956

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What does it mean by transpose of a vector

Published on 02 Apr 2019 - 23:34

97

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Computing the gradient of $(X,Y) \mapsto\dfrac{1}{2} \left\lVert A - XY^{T} \right\rVert _{F}^{2}$ via chain rule

Published on 25 Mar 2026 - 1:28

30

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Big-O / smal-o for perturbed matrix-inversion: What is $(A_n + \mathcal O_n(n^{-\alpha}))^{-1}$?

Published on 25 Mar 2026 - 11:15

123

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How to get gradient of matrix multiplication with respect to a matrix?

Published on 05 Apr 2019 - 7:08

1k

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Matrix Minimization

Published on 05 Apr 2019 - 12:12

1.2k

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Complexification of compact connected Lie groups: do these curves have the same tangent vector?

Published on 25 Mar 2026 - 14:27

157

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Let $A,B \in M_{2x2}(\mathbb{K})$, prove that $(AB-BA)^2=-\det(AB-BA)I$

Published on 07 Apr 2019 - 5:27

List Question

Gradient of a scalar with respect to a row vector

Derivative of a multivariate quadratic function

Computing the derivative of $\|Ax\|_2$

Gradient of $-y^T \log \left(f \left(W x ; \gamma, \beta \right) \right)$ w.r.t. $\left\{W, \gamma, \beta\right\}$?

Maximal determinant of $3 \times 3$ matrix where sum of squared entries is $\leq 1$

Functions of vectors and vectors of functions

Why does derivative of sum(u) result in vector of 1s?

Derivative of a function of matrix

What does it mean by transpose of a vector

Computing the gradient of $(X,Y) \mapsto\dfrac{1}{2} \left\lVert A - XY^{T} \right\rVert _{F}^{2}$ via chain rule

Big-O / smal-o for perturbed matrix-inversion: What is $(A_n + \mathcal O_n(n^{-\alpha}))^{-1}$?

How to get gradient of matrix multiplication with respect to a matrix?

Matrix Minimization

Complexification of compact connected Lie groups: do these curves have the same tangent vector?

Let $A,B \in M_{2x2}(\mathbb{K})$, prove that $(AB-BA)^2=-\det(AB-BA)I$

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