Unitary Matrix Examples
- Matrix given below is a unitary matrix of order “2 × 2.”
[Tex]A_{2\times2} = \frac{1}{\sqrt{2}}\left[\begin{array}{cc} 1 & 1\\ i & -i \end{array}\right] [/Tex]
- Matrix given below is a unitary matrix of order “3 × 3.”
[Tex]B_{3\times3} = \left[\begin{array}{ccc} i & 0 & 0\\ 0 & i & 0\\ 0 & 0 & i \end{array}\right] [/Tex]
Unitary Matrix
Unitary Matrix: Unitary Matrices are defined as square matrices of complex numbers such that the product of the conjugate transpose of a unitary matrix, with the unitary matrix itself, gives an identity matrix. Matrices are defined as rectangular arrays in which numbers are arranged in rows and columns. Number of rows and columns determined the size of the matrix. We have different types of matrices, such as rectangular, square, triangular, symmetric, and singular matrices.
In this article, we will learn about a unitary matrix in detail, along with its definition, examples, properties, sample problems etc.
Table of Content
- What is a Unitary Matrix?
- Unitary Matrix Definition
- Unitary Matrix Examples
- Properties of a Unitary Matrix
- Solved Examples on Unitary Matrix