List questions from unitary-matrices

Published on 04 Sep 2022 - 10:42

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Expectation of $e^{i\alpha H}$

Published on 27 Mar 2026 - 10:44

114

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Create a Unitary 2x2 matrix given a complex number "a".

Published on 21 Sep 2022 - 5:07

47

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Prove a complex matrix $A$ is unitary

Published on 22 Sep 2022 - 15:37

101

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Prove if $E_k=(I\otimes\langle e_k|)U(I\otimes|e_0\rangle)$ then $U=\begin{bmatrix}[E_1]&.&.\\ [E_2]&.&.\\ [E_3]&.&.\\ .&.&.\end{bmatrix}$

Published on 27 Mar 2026 - 10:09

126

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Exercise 5, Section 5.4 of Hoffman’s Linear Algebra

Published on 14 Oct 2022 - 13:05

63

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Unitary equivalence of symmetric and homogenous polynomials

Published on 20 Oct 2022 - 2:32

60

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Every complex square matrix is unitarily similar to a lower triangular matrix?

Published on 25 Mar 2026 - 9:48

114

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Frobenius norm : How do we get rid of the matrices $V$ and $V^T$?

Published on 30 Oct 2022 - 9:56

144

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Derivative of square root of unitary matrix

Published on 01 Nov 2022 - 4:51

110

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Negative powers of the determinant representation of $U(N)$

Published on 26 Mar 2026 - 4:14

82

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Making the matrix $A_{mn} = \frac{1}{\sqrt{N}} e^{-i\frac{2\pi}{N}x_m k_n}$ unitary

Published on 11 Nov 2022 - 12:08

73

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Are there homomorphisms $SU(2) \xrightarrow{} SU(2)$ with higher homotopy?

Published on 19 Nov 2022 - 18:51

86

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If the matrix exponential is unitary, is the exponent necessarily skew-Hermitian?

Published on 27 Mar 2026 - 4:58

79

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Simultaneous similarity of two complex matrices and their hermitian conjugates implies their unitary similarity

Published on 26 Mar 2026 - 9:58

List Question

Contradiction using Schur's lemma

Expectation of $e^{i\alpha H}$

Create a Unitary 2x2 matrix given a complex number "a".

Prove a complex matrix $A$ is unitary

Prove if $E_k=(I\otimes\langle e_k|)U(I\otimes|e_0\rangle)$ then $U=\begin{bmatrix}[E_1]&.&.\\ [E_2]&.&.\\ [E_3]&.&.\\ .&.&.\end{bmatrix}$

Exercise 5, Section 5.4 of Hoffman’s Linear Algebra

Unitary equivalence of symmetric and homogenous polynomials

Every complex square matrix is unitarily similar to a lower triangular matrix?

Frobenius norm : How do we get rid of the matrices $V$ and $V^T$?

Derivative of square root of unitary matrix

Negative powers of the determinant representation of $U(N)$

Making the matrix $A_{mn} = \frac{1}{\sqrt{N}} e^{-i\frac{2\pi}{N}x_m k_n}$ unitary

Are there homomorphisms $SU(2) \xrightarrow{} SU(2)$ with higher homotopy?

If the matrix exponential is unitary, is the exponent necessarily skew-Hermitian?

Simultaneous similarity of two complex matrices and their hermitian conjugates implies their unitary similarity

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