For each the following pairs of complex-valued functions,
(i) compute their L2 norm and Hermitian inner product on the interval [0, 1 ]. and then
(ii) check the validity of the Cauchy-Schwarz and triangle inequalities.
(a) 1, e i π x
(b) x + i, x - i
(c) i x2, (1 - 2i )x + 3 i