I'm assuming you're referring to this lesson.

https://www.guitartricks.com/lesson/24265

Anders is playing the A major pentatonic scale in that lesson.

I'm not familiar with the book you mentioned.  But there is a major pentatonic scale as well as a minor pentatonic scale.  They are based on the standard diatonic scales that also come in major and minor forms.  So, it's doubtful there is any contradiction involved here.  It's just two different sources talking about two different scales that both use the term pentatonic.  But one is major, the other minor.

The tricky thing is that they both use the same fretboard pattern or shape!  But the difference is in the scale degrees and intervals.  This image shows that information.  Same shapes, different scale degrees, thus a different sound.

This tutorial covers the theory of pentatonic scales.

https://www.guitartricks.com/tutorial/296

Hope that helps!