Need detailed solution in steps

Part 1: This essrcs'se will. est: you to rupture the equality Ntdl[AT} = {Col(A]]l. Pick a vector u in R4 and a vector s such that n and o are orthogonal; then nd 3. vector to which is orthogonal to both 1:: and 1:. Finally, nd a vector 3 which is orthogonal to u, s, to. For the last two steps, you should realize that you are solving a system of linear equations, and if you write them down that the system is represented by AT where the columns of A are the vectors you are trying to be orthogonal to. Now, verify with computations that the set {115] o,w,s} is linearly independent. If any of the vectors the, use are scalars of the standard basis vectors e1,e2,e3,e4 then start mrer. Set the matrix P = [a s w a] and compute without calculations the vectors Pln,P1n,P'lw, and Pls