Verify that the following matrix H = ( 2) 3 1-i 1+i is Hermitian. Find its...

 

Transcribed Image Text:

Verify that the following matrix H = ( 2") 3 1-i 1+i is Hermitian. Find its eigenvalues and eigenvectors, write a unitary matrix U which diagonalizes H by a similarity transformation, and show that U HU is the diagonal matrix of eigenvectors. Verify that the following matrix H = ( 2") 3 1-i 1+i is Hermitian. Find its eigenvalues and eigenvectors, write a unitary matrix U which diagonalizes H by a similarity transformation, and show that U HU is the diagonal matrix of eigenvectors.