[GP125]

┌ -i -i 0 ┐
│ -i -i 0 │=A
└ 0 0 1 ┘

(a)Show that A is an example of normal matrix that is neither self-adjoint nor unitary

(b)Use the MATLAB built-in function schur with optional argument 'complex' to find its Schur decomposition A=UBU'

(c)Verify that the columns of U are eigenvectors of A and form an orthonormal basis for C

(d)Compare the eigenvalues and eigenvectors of A with those of A'

自己尝试写了几遍 可是都不行 完全没有头绪 拜托各位前辈帮忙解答