Consider the complex matrix Find a unitary complex matrix Q

Consider the complex matrix Find a unitary complex matrix Q such that Q^H MQ is an upper-triangular matrix. Find a unitary complex matrix P such that (MP)^H (MP) is a diagonal matrix.

Solution

i) you can see an example for i here : http://math.stackexchange.com/questions/1775853/unitary-complex-matrix

http://math.stackexchange.com/questions/587257/how-do-i-find-upper-triangular-form-of-a-given-3-by-3-matrix/587321#587321