# Unitary Matrix

Also found in: Dictionary, Wikipedia.

Related to Unitary Matrix: Normal matrix

## unitary matrix

[′yü·nə‚ter·ē ′mā·triks] (mathematics)

A matrix whose inverse is equal to the complex conjugate of its transpose.

## Unitary Matrix

A unitary matrix of order *n* is an *n* × *n* matrix [*u _{ik}*] with complex entries such that the product of [

*u*] and its conjugate transpose [

_{ik}*ū*] is the identity matrix

_{ki}*E*. The elements of a unitary matrix satisfy the relations

The unitary matrices of order *n* form a group under multiplication. A unitary matrix with real entries is an orthogonal matrix.