SOLUTION: what is mean by hermitian matrix?

Algebra.Com
Question 256769: what is mean by hermitian matrix?
Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
A Hermitian matrix (or self-adjoint matrix) is a square matrix with complex entries which is equal to its own conjugate transpose – that is, the element in the ith row and jth column is equal to the complex conjugate of the element in the jth row and ith column, for all indices i and j:
a_{i,j} = \overline{a_{j,i}}.
If the conjugate transpose of a matrix A\; is denoted by A^\dagger, then the Hermitian property can be written concisely as
A = A^\dagger.
Hermitian matrices can be understood as the complex extension of a real symmetric matrix.

RELATED QUESTIONS

show that every square matrix can be expressed in one way onl as a sum of hermitian and... (answered by solver91311)
Proof of Hermitian matrices: If A and B are Hermitian matrices, I need to show that BA =... (answered by venugopalramana)
Matrices with the property A*A=AA* are said to be normal. 1. Verify that symmetric... (answered by venugopalramana)
What is matrix a+ matrix... (answered by Fombitz)
what is a... (answered by elima)
What is unitary... (answered by stanbon)
is a 3x4 matrix by a 3x4 matrix... (answered by tommyt3rd)
what is a rotation... (answered by tommyt3rd)