Q3 Consider the matrix A 0 1 0 0 0 1 a Find the eigenvalues

Last updated: 9/13/2023

Q3 Consider the matrix A 0 1 0 0 0 1 a Find the eigenvalues A s doubly degenerate and the eigenvectors la i 1 2 3 c the operator A b Show that each of the sets la la la3 forms an orthonormal and complete basis c Consider the matrix U which is formed from the normalized eigenvectors of A Verify that U is unitary U U 1 d Show that U satisfies the relation U AU 12 0 0 0 22 0 1 2 22 23 are the eigenvalues of A