$1.$ Using Matlab, normalize the input vectors, check that they are orthogonal, and construct an associative matrix that maps the following vector pairs:

s$1=[1-11-11-11-1]$ to T$1=[022]$

s$2=[1111-1-1-1-1]$ to T$2=[-202]$

s$3=[11-1-111-1-1]$ to T$3=[111]$