Define unitary matrix.
Understand the Problem
The question is asking for the definition of a unitary matrix, which is a specific type of matrix in linear algebra that has certain properties related to its transpose and inverse.
Answer
A unitary matrix is a square matrix whose conjugate transpose is also its inverse.
A unitary matrix is a square matrix whose conjugate transpose is also its inverse.
Answer for screen readers
A unitary matrix is a square matrix whose conjugate transpose is also its inverse.
More Information
In other words, a matrix U is unitary if U*U†= U†U = I, where U†is the conjugate transpose of U and I is the identity matrix.
Tips
A common mistake is to confuse unitary matrices with orthogonal matrices. Orthogonal matrices are real-valued unitary matrices.
Sources
- Wikipedia: Unitary Matrix - en.wikipedia.org
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