Improve clarity of a sentence referring to figure 4.7

[st--]

Describe the mistake "This identifies the eigenvectors $p_i$ (blue and orange arrows in Figure 4.7) onto the standard basis vectors $e_i$." This is somewhat confusing/unclear. The $p_i$ eigenvectors are orange. The standard basis vectors $e_i$ are blue.

Location

1. version 2021-01-14
2. Chapter 4.4
3. page 117 (pdf 123)
4. paragraph before example 4.11

Proposed solution Rewrite: "This identifies the eigenvectors $p_i$ (orange arrows in Figure 4.7) onto the standard basis vectors $e_i$ (blue arrows)."

[mpd37]

to be honest, I don't even know what that sentence means anymore... What about the following:

"This defines the eigenvectors p_i (orange arrows in Figure 4.7) as the new coordinate system with respect to which we continue."