List questions from matrix-calculus

Published on 13 Apr 2018 - 7:52

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Continuity of a matrix valued function

Published on 13 Apr 2018 - 23:08

188

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Prove that if the matrix $\begin{bmatrix}a & b\\b & c\end{bmatrix}$ is nonnegative definite, then it has a factorization $LL^{T}$

Published on 25 Mar 2026 - 3:02

165

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$\lim_{k\to \infty} A^k v=0$ with dominant eigenvalue $1$ and generalized eigenvector

Published on 14 Apr 2018 - 23:42

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Is it true: A real block diagonal matrix is diagonalizable if and only if each block is diagonalizable.

Published on 25 Mar 2026 - 4:39

62

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Eigenvalues of Matrix Polynomials and transformations that leave them invariant

Published on 20 Apr 2018 - 14:49

203

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Derivative of an elementwise function and a pesudoinverse

Published on 23 Apr 2018 - 3:03

127

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On the solution of one matrix differential equation

Published on 24 Apr 2018 - 14:03

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When can we say that $A^{\mathrm T} B = B^{\mathrm T} A$?

Published on 25 Mar 2026 - 6:00

155

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Can a tensor of rank-2 be diagonalized by two different set of basis?

Published on 25 Mar 2026 - 3:03

230

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Derivative of squared Frobenius norm of linear combination of rank-$1$ matrices with respect to their weights

Published on 26 Apr 2018 - 8:07

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Partial derivative of matrix product in neural network

Published on 24 Mar 2026 - 23:45

845

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Differentiating with respect to a vector transpose

Published on 25 Mar 2026 - 5:59

102

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Matrix with distinct eigenvectors corresponding to eigenvalues.

Published on 25 Mar 2026 - 6:09

125

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Derivative of $\mathrm{tr}(X^\top A) A$

Published on 29 Apr 2018 - 8:35

List Question

Variational form of matrix

Continuity of a matrix valued function

Prove that if the matrix $\begin{bmatrix}a & b\\b & c\end{bmatrix}$ is nonnegative definite, then it has a factorization $LL^{T}$

$\lim_{k\to \infty} A^k v=0$ with dominant eigenvalue $1$ and generalized eigenvector

Is it true: A real block diagonal matrix is diagonalizable if and only if each block is diagonalizable.

Eigenvalues of Matrix Polynomials and transformations that leave them invariant

Derivative of an elementwise function and a pesudoinverse

On the solution of one matrix differential equation

When can we say that $A^{\mathrm T} B = B^{\mathrm T} A$?

Can a tensor of rank-2 be diagonalized by two different set of basis?

Derivative of squared Frobenius norm of linear combination of rank-$1$ matrices with respect to their weights

Partial derivative of matrix product in neural network

Differentiating with respect to a vector transpose

Matrix with distinct eigenvectors corresponding to eigenvalues.

Derivative of $\mathrm{tr}(X^\top A) A$

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