List questions from matrix-calculus

Published on 09 Apr 2026 - 8:09

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What is the limit of $\mathrm{e}^{At}$ when $t\to \infty$, for $A$ a square matrix?

Published on 11 Apr 2026 - 14:02

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Is the set of all invertible $n \times n$ matrices a vector space?

Published on 17 Jan 2014 - 18:24

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If $\,A^k=0$ and $AB=BA$, then $\,\det(A+B)=\det B$

Published on 19 Jan 2014 - 9:17

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Derivative of $(Ax - b)^T(Ax-b)$

Published on 21 Jan 2014 - 11:48

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Isotropic points with a jacobian matrix

Published on 21 Jan 2014 - 14:31

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How many zero elements are there in the inverse of the $n\times n$ matrix

Published on 23 Jan 2014 - 3:57

539

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Derivative of sqrt( Vector * Matrix * Vector ) according to one coordonate of the vector

Published on 23 Jan 2014 - 8:51

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convexity of matrix "soft-max" (log trace of matrix exponential)

Published on 24 Jan 2014 - 18:46

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Find square matrices $A, B$, such that $\exp(A + B) \neq \exp(A) \exp(B)$.

Published on 26 Jan 2014 - 16:35

69

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Homework: Real analysis limit of Matrix function

Published on 11 Apr 2026 - 18:25

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Find $\exp(D)$ where $D = \begin{bmatrix}2& -1 \\ 1 & 2\end{bmatrix}. $

Published on 26 Jan 2014 - 22:31

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Integral of matrix exponential

Published on 28 Mar 2026 - 0:27

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Product rule when differentiate matrix products

Published on 11 Apr 2026 - 10:29

91

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time derivative of Log(A(t)) for some Hermition square matrix

Published on 06 Feb 2014 - 1:26

List Question

Gramian matrix test

What is the limit of $\mathrm{e}^{At}$ when $t\to \infty$, for $A$ a square matrix?

Is the set of all invertible $n \times n$ matrices a vector space?

If $\,A^k=0$ and $AB=BA$, then $\,\det(A+B)=\det B$

Derivative of $(Ax - b)^T(Ax-b)$

Isotropic points with a jacobian matrix

How many zero elements are there in the inverse of the $n\times n$ matrix

Derivative of sqrt( Vector * Matrix * Vector ) according to one coordonate of the vector

convexity of matrix "soft-max" (log trace of matrix exponential)

Find square matrices $A, B$, such that $\exp(A + B) \neq \exp(A) \exp(B)$.

Homework: Real analysis limit of Matrix function

Find $\exp(D)$ where $D = \begin{bmatrix}2& -1 \\ 1 & 2\end{bmatrix}. $

Integral of matrix exponential

Product rule when differentiate matrix products

time derivative of Log(A(t)) for some Hermition square matrix

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