Science talk:Math Exam Resources/Courses/MATH152/April 2013/Question A 15

We need a hint or two prmopting how to think about how row ops affect eigenvalues. Perhaps using elem ops?

I added one, I hope this is ok.

Needs a bit of work I think. First, never start a sentence with a math symbol. Then I think you really want to say something like "Suppose you had a matrix where the first standard basis vector was an eigenvector. Then go into your spiel about finding a counter example.

Corrections made, details added. Have another look.