Define Hermitian Matrices.

Lennie Carroll 2020-10-18 Answered
Define Hermitian Matrices.
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Khribechy
Answered 2020-10-19 Author has 100 answers
Step 1
Hermitian matrix is a complex square matrix that is equal to its own conjugate transpose, that is for which
A=AH
where AH denotes the conjugate transpose.
In other words, we can say the matrix whose matrix whose element in the i-th row and j-th column is equal to the complex conjugate of the element in the j-th row and i-th column is called Hermitian matrix.
That is
aij=a¯ji
Step 2
For example, consider the matrix
A=[1ii1]
A¯=[1ii1]
A¯T=[1ii1]
A¯T=A
Therefore, A is hermitian matrix.
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Jeffrey Jordon
Answered 2022-01-27 Author has 2027 answers

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