List questions from matrix-exponential

Published on 11 Aug 2019 - 14:13

201

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Do all unitary matrices belong to a one-parameter unitary group (for Stone's theorem).

Published on 13 Aug 2019 - 16:23

52

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For which orthogonal $2\times2$ matrices does the exponential become orthogonal?

Published on 14 Aug 2019 - 14:16

110

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Find B such that $\det(B)>0$ but there is no real $A$ with $\exp{(A)}=B$

Published on 15 Aug 2019 - 4:38

74

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Jacobi Corollary and solving an ODE

Published on 25 Aug 2019 - 11:40

221

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Matrix exponential bound

Published on 30 Aug 2019 - 10:20

2.2k

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Matrix exponential using Jordan form

Published on 07 Sep 2019 - 19:52

114

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How to identify a linear Lie algebra

Published on 11 Sep 2019 - 23:10

65

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Exponential of matrix if $A^2=A$

Published on 18 Sep 2019 - 15:17

179

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Is the matrix exponential for a given matrix $\mathbf{A}$ always the same?

Published on 24 Sep 2019 - 16:38

1.4k

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Developing intuition for Lie groups and Lie algebras

Published on 24 Sep 2019 - 17:22

2.5k

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Proof that the determinant of a matrix exponential equals the exponential of trace of the matrix

Published on 25 Sep 2019 - 0:39

268

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Matrix exponentiation of an orthogonal matrix

Published on 26 Sep 2019 - 4:04

3.9k

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Taylor expansion of a matrix exponential

Published on 25 Mar 2026 - 20:18

251

Views

Why does $e^{A}e^B=e^{A+B+\frac12[A,B]+...}$ imply $e^{A+B}=e^{A} e^B e^{-\frac12[A,B]+...}$?

Published on 26 Sep 2019 - 20:55

List Question

Linear operator exponentials?

Do all unitary matrices belong to a one-parameter unitary group (for Stone's theorem).

For which orthogonal $2\times2$ matrices does the exponential become orthogonal?

Find B such that $\det(B)>0$ but there is no real $A$ with $\exp{(A)}=B$

Jacobi Corollary and solving an ODE

Matrix exponential bound

Matrix exponential using Jordan form

How to identify a linear Lie algebra

Exponential of matrix if $A^2=A$

Is the matrix exponential for a given matrix $\mathbf{A}$ always the same?

Developing intuition for Lie groups and Lie algebras

Proof that the determinant of a matrix exponential equals the exponential of trace of the matrix

Matrix exponentiation of an orthogonal matrix

Taylor expansion of a matrix exponential

Why does $e^{A}e^B=e^{A+B+\frac12[A,B]+...}$ imply $e^{A+B}=e^{A} e^B e^{-\frac12[A,B]+...}$?

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