Define Hermitian Matrices.

Lennie Carroll

Lennie Carroll

Answered question

2020-10-18

Define Hermitian Matrices.

Answer & Explanation

Khribechy

Khribechy

Skilled2020-10-19Added 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.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-27Added 2605 answers

Answer is given below (on video)

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