List questions from matrix-calculus

Published on 27 Mar 2026 - 7:47

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Show that matrix $A(XB^{-1})^ = $ to $X = C^T(A^{-1})^TB$

Published on 25 Mar 2026 - 17:39

462

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Derivative of eigenvalue of matrix with respect to its elements

Published on 25 Mar 2026 - 17:25

373

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Given matrix $A$ and column vector $x$, what is the derivative of $Ax$ with respect to $x$?

Published on 25 Mar 2026 - 20:20

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The derivative of a unit vector with respect to itself

Published on 26 Mar 2026 - 13:57

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Are Hessian matrices always symmetric?

Published on 25 Mar 2026 - 15:49

61

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Second order partial derivative of $\log|PWP^T|$

Published on 30 Jun 2019 - 7:19

97

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prove negative definiteness of $\mathbf{1}_{(0, \infty)}(x)$

Published on 25 Mar 2026 - 6:02

668

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Show that $λ^{−1}$ is an eigenvalue for $A^{-1}B$

Published on 28 Mar 2026 - 8:08

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Find the orthogonal projection of y onto subspace of $R^3$ spanned by S, where S is not orthogonal.

Published on 26 Mar 2026 - 17:38

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Column and Nullspace of matrix AB

Published on 03 Jul 2019 - 20:47

1k

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Derivative of the log determinant of the covariance matrix

Published on 08 Jul 2019 - 5:50

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derivative with respect to a diagonal matrix

Published on 08 Jul 2019 - 20:40

362

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Question about the matrix cookbook

Published on 09 Jul 2019 - 3:07

343

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Derivative inside a trace

Published on 27 Mar 2026 - 12:09

List Question

Deriving Bayesian Predictive Distribution?

Show that matrix $A(XB^{-1})^ = $ to $X = C^T(A^{-1})^TB$

Derivative of eigenvalue of matrix with respect to its elements

Given matrix $A$ and column vector $x$, what is the derivative of $Ax$ with respect to $x$?

The derivative of a unit vector with respect to itself

Are Hessian matrices always symmetric?

Second order partial derivative of $\log|PWP^T|$

prove negative definiteness of $\mathbf{1}_{(0, \infty)}(x)$

Show that $λ^{−1}$ is an eigenvalue for $A^{-1}B$

Find the orthogonal projection of y onto subspace of $R^3$ spanned by S, where S is not orthogonal.

Column and Nullspace of matrix AB

Derivative of the log determinant of the covariance matrix

derivative with respect to a diagonal matrix

Question about the matrix cookbook

Derivative inside a trace

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