Master the Eigenvalue Algorithm for Math GRE Exams

[brydustin]

I'm taking the math subject GRE in just over a year's time... and I was wondering if there are "ideal" algorithms to have in our tool box to do a computation like this quickly. Obviously the type of matrices in a standardized exam are going to be fairly clean or look dirty but have some less obvious property that makes the calculation trivial (if you see it).
I wouldn't recommend doing the secular determinant as this is slow on computers and for a person taking an exam. For example, there a few good methods if the matrix is 2*2 and real symmetric, which can save you a few seconds; but are there any good tricks in general.
Hum, sorry if this isn't very "precise".

 

[fresh_42]

Gauß elimination is appropriate. Or you can use an internet tool like those listed in
https://www.physicsforums.com/threa...th-and-other-curiosities.970262/#post-6164027