Category:Definitions/Unitary Transformations

This category contains definitions related to Unitary Transformations.
Related results can be found in Category:Unitary Transformations.

Let $\mathbf A$ and $\mathbf B$ be square matrices over the complex numbers $\C$.

An unitary transformation is an operation of changing $\mathbf B$ to $\mathbf A$ by multiplying $\mathbf B$ by an unitary matrix $\mathbf Y$ and its inverse $\mathbf Y^{-1}$ such that:

$\mathbf A = \mathbf Y^{-1} \mathbf B \mathbf Y$