Yes, that's exactly how the author of the article is explaining it (including the picture). I was just commenting that it was good that, the author took time t

Yes, that's exactly how the author of the article is explaining it (including the picture). I was just commenting that it was good that, the author took time to explain this. And those kinds of nuances/counter examples are not always available in explanatory dynamic visualization tools (such as the ones referenced in the comments here [1] ). To be clear, I am not arguing against dynamic visualizations. These are very nice, very very helpful, and very time consuming to build and present on a website. I am just suggesting that showing negative examples is a complimentary, and powerful explanation technique. [1] http://setosa.io/ev/eigenvectors-and-eigenvalues/ http://setosa.io/ev/eigenvectors-and-eigenvalues/