List questions from matrix-calculus

Published on 13 Apr 2026 - 19:27

135

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Taking matrix derivative $\| \left| \mathbf{X}\mathbf{W}\right|-\mathbf{1}_{n \times K} \| ^2_F$ with respect to W

Published on 15 Apr 2026 - 23:21

48

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How to take the derivative of a matrix column with respect to the matrix itself

Published on 12 Apr 2026 - 10:25

136

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How to calculate a matrix-matrix derivative

Published on 09 Apr 2026 - 11:41

69

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Solving for Optimal Linear Isometry

Published on 12 Apr 2026 - 1:17

125

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Jacobian of the inverse of a matrix times a vector

Published on 16 Apr 2026 - 20:32

386

Views

If $A$ and $B$ are square matrix such that $AB=I$ then $BA=I$ too.

Published on 16 Apr 2026 - 6:54

35

Views

Why does $\frac{\delta}{\delta\beta}y^TX\beta=\frac{\delta}{\delta\beta}B^TX^Ty?$

Published on 16 Apr 2026 - 3:01

37

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How to read / understand integrals involving high-dimensional Vectors and Matrices

Published on 12 Apr 2026 - 5:11

1k

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Truth statements regarding invertible matrices

Published on 13 Apr 2026 - 14:42

491

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From vector of polynomials to matrix multiplication

Published on 14 Apr 2026 - 14:50

38

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Possible typo in this paper differentiating a matrix product

Published on 15 Apr 2026 - 11:03

127

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Is there a better/easier way to solve this matrix?

Published on 12 Apr 2026 - 7:02

79

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Prove that $\big(E\cdot X^{tr}\big)_I=X_I\cdot E^{tr}$ where $E$ is an elementary matrix.

Published on 13 Apr 2026 - 16:56

38

Views

Upper estimate for matrix series

Published on 10 Apr 2026 - 10:31

List Question

Computing a matrix limit that arises in optimal control of linear SDEs

Taking matrix derivative $\| \left| \mathbf{X}\mathbf{W}\right|-\mathbf{1}_{n \times K} \| ^2_F$ with respect to W

How to take the derivative of a matrix column with respect to the matrix itself

How to calculate a matrix-matrix derivative

Solving for Optimal Linear Isometry

Jacobian of the inverse of a matrix times a vector

If $A$ and $B$ are square matrix such that $AB=I$ then $BA=I$ too.

Why does $\frac{\delta}{\delta\beta}y^TX\beta=\frac{\delta}{\delta\beta}B^TX^Ty?$

How to read / understand integrals involving high-dimensional Vectors and Matrices

Truth statements regarding invertible matrices

From vector of polynomials to matrix multiplication

Possible typo in this paper differentiating a matrix product

Is there a better/easier way to solve this matrix?

Prove that $\big(E\cdot X^{tr}\big)_I=X_I\cdot E^{tr}$ where $E$ is an elementary matrix.

Upper estimate for matrix series

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