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Does there exist a unitary matrix such that $Uv=\|v\|e_{1}$ for $v\in\Bbb{C}^{n}$?

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#linear-algebra #matrices #random-matrices #unitary-matrices #tridiagonal-matrices
106
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Unitary matrix corruption

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#matrices #unitary-matrices #noise
22
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Parameterisation of a $3\times3$ unitary matrix, only knowing the squared modulus

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#unitary-matrices
34
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Assuming the violation of unitarity, what is logically possible?

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#general-topology #linear-transformations #hilbert-spaces #unitary-matrices
35
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Embedding $D_{2n}$ in $U_2$

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#group-theory #dihedral-groups #unitary-matrices
60
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What is the resulting group of $(\operatorname{U}(1)\times \operatorname{U}(1)) / \mathbb{Z}_2 $

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#group-theory #lie-groups #unitary-matrices
91
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Verify my proof that eigenvalues of a unitary matrix have absolute value 1

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#linear-algebra #solution-verification #eigenvalues-eigenvectors #unitary-matrices #hermitian-matrices
60
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Parametrizing Unitary matrices using Hermitian matrices. Covers the whole space?

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#parametrization #unitary-matrices #hermitian-matrices
97
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How to compress a unitary matrix?

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#matrices #svd #orthogonal-matrices #unitary-matrices #compression
47
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Family of $n!+1$ non-commuting matrices in unitary group

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#linear-algebra #matrices #unitary-matrices
53
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Real matrix as sum of unitary matrices

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#linear-algebra #matrices #symmetric-matrices #unitary-matrices
74
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Unitary group and subgroup are non-isomorphic

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#linear-algebra #matrices #group-theory #unitary-matrices
87
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Trace of a multiplication operator

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#functional-analysis #trace #compact-operators #unitary-matrices
44
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QR Factorization of Power of Matrix

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-decomposition #unitary-matrices
21
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Diagonalize a Unitary matrix in Fourier domain

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#linear-algebra #fourier-transform #unitary-matrices

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