Question

Uniqueness of the unitary operator that transforms a vector $\vec{a}$ to $\vec{b}$

score 36 · Answer 1 · 2026-03-25 12:53:00

36

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Uniqueness of the unitary operator that transforms a vector $\vec{a}$ to $\vec{b}$

Published on 25 Mar 2026 - 12:53

score 117 · Answer 2 · 2026-03-25 12:55:12

117

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Approximating integral $p$-adic matrices of order 2

Published on 25 Mar 2026 - 12:55

score 807 · Answer 3 · 2026-03-25 16:06:51

807

Views

On the relation between SO(3) and SU(2) groups

Published on 25 Mar 2026 - 16:06

score 237 · Answer 4 · 2026-03-25 12:52:11

237

Views

numerical optimization to find unitary matrix

Published on 25 Mar 2026 - 12:52

score 343 · Answer 5 · 2026-03-25 12:50:00

343

Views

Prove that if the norms of vectors are equal, there is a unitary transformation such that $Tx=y$

Published on 25 Mar 2026 - 12:50

score 167 · Answer 6 · 2026-03-25 12:49:55

167

Views

If $T$ is a unitary operator, and $-1$ is not an eigenvalue for $T$, then there exists a $V$ such that $V^*=-V$ and $T=(I-V)(I+V)^{-1}$

Published on 25 Mar 2026 - 12:49

score 479 · Answer 7 · 2026-03-25 12:53:59

479

Views

What is multiplying a DFT (Fourier) matrix with its conjugate transpose?

Published on 25 Mar 2026 - 12:53

score 64 · Answer 8 · 2026-05-10 17:13:47

64

Views

Relationship between columns of a unitary matrix

Published on 10 May 2026 - 17:13

score 77 · Answer 9 · 2026-03-25 12:48:31

77

Views

Showing that matrix associated with rotation has special form

Published on 25 Mar 2026 - 12:48

score 121 · Answer 10 · 2026-03-25 12:52:15

121

Views

Generating student-friendly random orthgonal matrices

Published on 25 Mar 2026 - 12:52

score 41 · Answer 11 · 2026-03-25 12:55:02

41

Views

Bott-Periodicity for unitary matrices with entries in general $C^{*}$-algebra

Published on 25 Mar 2026 - 12:55

score 51 · Answer 12 · 2026-04-15 17:28:29

51

Views

Let, $G$ be a subgroup of $GL_n(\Bbb{C})$. Prove that, $\exists$ an inner product on $\Bbb{C}^n$ such that $G\subset U_n$

Published on 15 Apr 2026 - 17:28

score 303 · Answer 13 · 2026-05-10 15:22:38

303

Views

If two matrices have the same characteristic polynomial, they need not be unitarily equivalent. Why?

Published on 10 May 2026 - 15:22

score 68 · Answer 14 · 2026-05-11 05:26:47

68

Views

Group of $2\times2$ matrices that are isomorphic to $SU(2)$

Published on 11 May 2026 - 5:26

score 181 · Answer 15 · 2026-05-11 04:59:41

181

Views

Unitary matrix U to diagonalize matrix A

Published on 11 May 2026 - 4:59

List Question

Uniqueness of the unitary operator that transforms a vector $\vec{a}$ to $\vec{b}$

Approximating integral $p$-adic matrices of order 2

On the relation between SO(3) and SU(2) groups

numerical optimization to find unitary matrix

Prove that if the norms of vectors are equal, there is a unitary transformation such that $Tx=y$

If $T$ is a unitary operator, and $-1$ is not an eigenvalue for $T$, then there exists a $V$ such that $V^*=-V$ and $T=(I-V)(I+V)^{-1}$

What is multiplying a DFT (Fourier) matrix with its conjugate transpose?

Relationship between columns of a unitary matrix

Showing that matrix associated with rotation has special form

Generating student-friendly random orthgonal matrices

Bott-Periodicity for unitary matrices with entries in general $C^{*}$-algebra

Let, $G$ be a subgroup of $GL_n(\Bbb{C})$. Prove that, $\exists$ an inner product on $\Bbb{C}^n$ such that $G\subset U_n$

If two matrices have the same characteristic polynomial, they need not be unitarily equivalent. Why?

Group of $2\times2$ matrices that are isomorphic to $SU(2)$

Unitary matrix U to diagonalize matrix A

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