List questions from matrix-calculus

Published on 04 May 2026 - 17:49

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derivative of cross product of vectors with respect to vector

Published on 05 May 2026 - 4:54

113

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Derivative of a matrix function including cross and dot products

Published on 29 Apr 2026 - 12:52

159

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Prove that linear maps on $x\in\mathbb{R}^n$ are differentiable

Published on 29 Apr 2026 - 12:53

571

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Derivative of square of skew symmetric matrix times a vector wrt the argument of the skew symmetric argument

Published on 05 May 2026 - 16:24

841

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About Matrix function on Jordan normal form

Published on 03 May 2026 - 20:40

138

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Unusual normalization related to the eigenvector perturbation

Published on 29 Apr 2026 - 12:43

34

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Spectral decomposition of some special matrices

Published on 29 Apr 2026 - 12:52

273

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For a non-diagonalizable $n \times n$ matrix, how to prove that $\exists (A_m)$ is diagonalizable matrix such that $A_m$ converges to $A$.

Published on 07 May 2026 - 3:58

86

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Is this matrix always positive definite?

Published on 29 Apr 2026 - 12:08

135

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Transforming a vector/matrix fraction to its product

Published on 29 Apr 2026 - 12:44

972

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detecting minimum and maximum using matrix calculus

Published on 29 Apr 2026 - 12:53

59

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If I add a positive definite matrix, do I increase the norm?

Published on 05 May 2026 - 4:10

512

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Perturbative expansion of an expression involving the matrix square root

Published on 29 Apr 2026 - 12:43

413

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Partial derivative with respect to a matrix

Published on 29 Apr 2026 - 12:52

List Question

Derivative of bilinear form

derivative of cross product of vectors with respect to vector

Derivative of a matrix function including cross and dot products

Prove that linear maps on $x\in\mathbb{R}^n$ are differentiable

Derivative of square of skew symmetric matrix times a vector wrt the argument of the skew symmetric argument

About Matrix function on Jordan normal form

Unusual normalization related to the eigenvector perturbation

Spectral decomposition of some special matrices

For a non-diagonalizable $n \times n$ matrix, how to prove that $\exists (A_m)$ is diagonalizable matrix such that $A_m$ converges to $A$.

Is this matrix always positive definite?

Transforming a vector/matrix fraction to its product

detecting minimum and maximum using matrix calculus

If I add a positive definite matrix, do I increase the norm?

Perturbative expansion of an expression involving the matrix square root

Partial derivative with respect to a matrix

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