Problem 4 (5 points). Generate the set of vectors ui, u2 and uz using the script clc; clear all; Q=randi ((-5 5],4,5); [P,D] - eig(0*0'); ulrandi ((1 9])*P(:,1) u2=randi ([1 9])*P(:,2) u3=randi ([1 9])*P(:,3) and the vector y generated by the script y=randi ((-10 10],4,1). Using developed yourself Matlab script 1. show that vectors ui, u2 and uz mutually orthogonal 2. find the orthogonal projection () of y into Span{ui, u2, uz ). 3. find the coordinates of the orthogonal axes z. Write your Matlab script here. ul = u2 u3 y Proving of orthogonality of us, uz and us = 2 Problem 4 (5 points). Generate the set of vectors ui, u2 and uz using the script clc; clear all; Q=randi ((-5 5],4,5); [P,D] - eig(0*0'); ulrandi ((1 9])*P(:,1) u2=randi ([1 9])*P(:,2) u3=randi ([1 9])*P(:,3) and the vector y generated by the script y=randi ((-10 10],4,1). Using developed yourself Matlab script 1. show that vectors ui, u2 and uz mutually orthogonal 2. find the orthogonal projection () of y into Span{ui, u2, uz ). 3. find the coordinates of the orthogonal axes z. Write your Matlab script here. ul = u2 u3 y Proving of orthogonality of us, uz and us = 2