X spectra matrix redundancy

We know about the redundancy in the columns of the wavelength matrix X, where there is a high correlation between many of the wavelength so we should create new matrices to  represent the linear combinations of the X matrix.

 

In this picture, I select 3 wavelengths  of the 100 and we can see how two of them are highly correlated and the information can be represented in a plane indeed in a cube, so we change the space from 3 variables to just 2.

 

Columns X1 and X3 has a high correlations so they are dependent vectors because they go in the same direction. X2 goes in a different  direction so it is independent  from X1 or X3.