Take the largest orthogonal subset and normalize all the vectors in that set as follows:

$>>$ v $=$ v$/$norm$($v$)$

This code replaces v with itself divided by its size$$so we get a vector pointing in the same direction but with length $1.$ The above code normalizes v$,$ so you'll have to normalize the other vectors in your orthogonal subset as well, replacing v with the appropriate letter.

Store the resulting vectors in MATLAB as columns of a matrix W$.$ Enter them in alphabetical order from left to right. Calculate WTW$.$ What do you get? Why should we expect this result?