Provide an example for (A) , (B), and (C); such that T is not normal , T has at least one real eigen value and at least one non-real eigen value, and that the matrix ( T, (w_1, w_2,...w_n)) is not an upper triangular matrix.

(A) A complex inner product space W

(B) An operator T on W

(C) a basis (w_1, w_2,...,w_n ) of W

Justify your solution.