Hermitian Matrix in Linear Algebra

Introduction to Hermitian matrix

A matrix in which the value is remaining the same after being conjugate and transposed in respected order. So in order to find if one matrix is a Hermitian matrix, we must have an understanding of how to conjugate and transpose.

Conjugate Matrix

The way to conjugate the matrix is to multiply the complex value of the matrix with -1 and keep the non-complex value as the same.

Matrix Transpose

The terms transpose in the matrix means switching matrix rows into columns or columns into rows.

You can see that after transposing the conjugated matrix, we get a conjugate transpose matrix whose value is the same as the original matrix M. So we can say that M is a Hermitian Matrix.