# unitary matrix

## 1. definition

## 2. properties

- A unitary product preserves the inner product. So if \(X\) and \(Y\) are inner product spaces, then

\(\braket{x\mid y}_X = \braket{Ux \mid Uy}\)

- A unitary product preserves the inner product. So if \(X\) and \(Y\) are inner product spaces, then

\(\braket{x\mid y}_X = \braket{Ux \mid Uy}\)

Created: 2024-07-15 Mon 12:12