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Published on Apr 5, 2015
Here I show a 3x3 and 4x4 example which are solved by explicit row reduction, or, in the later case simple inspection. Both of these examples I avoided the task of directly calculating the characteristic polynomial. Of course, given any 3x3 or 4x4 problem the calculation of the characteristic polynomial is difficult generally. Indeed, polynomial factoring stands in the way of solving the general e-vector problem. I labeled this Lecture 26 since it is really attached to that discussion.