Unitary matrices are the complex versions, and they are the matrix representations of linear maps on complex vector spaces that preserve "complex distances". If you have a complex vector space then …

A stronger notion is unitary equivalence, i.e., similarity induced by a unitary transformation (since these are the isometric isomorphisms of Hilbert space), which again cannot happen between a nonunitary …

Jul 20, 2012 · On certain decomposition of unitary symmetric matrices Ask Question Asked 13 years, 9 months ago Modified 12 years, 3 months ago

Sep 10, 2015 · I am trying to prove that the inverse of the fourier transform is equal to its adjoint (i.e. it is a unitary linear operator). I am working with the inner product $\langle s_1,s_2 \rangle=\int_ {-\...

Dec 6, 2020 · Show that if $A$ and $B$ are unitary matrices, then $C = A \\otimes B$ is unitary.

Apr 23, 2021 · Find a unitary matrix given eigenvectors and eigenvalues Ask Question Asked 5 years ago Modified 4 years, 11 months ago

The Gram-Schmidt procedure gives you an orthonormal basis, which when arragned into a matrix gives a unitary matrix. I included the normalization step in the procedure, so the determinant of the …

Jan 19, 2022 · Number of free real parameters in Hermitian vs unitary matrix Ask Question Asked 4 years, 3 months ago Modified 2 months ago

Apr 26, 2021 · How to check if a matrix is unitary? Ask Question Asked 4 years, 11 months ago Modified 4 years, 11 months ago

Jan 1, 2015 · I believe the way you propose is quite standard. For a more general understanding of exponentiation, maybe look for an introductory course on Lie groups and Lie algebras, but for simple …