Hello, i’ve solved every question on the quizzes but i’ve been stuck on this problem for a few day’s, maybe i overlooked something or maybe i’m missing some fundation on algebra. i woul’d like to get some explanation on the problem and if it’s possible more information on the subject that i lack of. Thank you in advanced. The part that i don’t know how to solve is getting the correct eigenvectors and transforming them in to eigenbases. i’m thinking that maybe i got the eigen values wrong but i solved the other problem with a matrix 3x3.
Check this:
Hi, I can’t find the eigenvectors in question even after watching the video above. I’m stuck after getting the eigenvalues of 2 and 1. When I try to solve the eigenvector for eigenvalue of 2, this is where I got stuck
For Eigenvalue = 2,
2 0 0 x
1 2 1 y = 2 . x y z
-1 0 1 z
I get the following equations from the above matrix using Luis’ method from the 2x2 matrix example in Week 4 lectures notes (slide 324),
x = x
x = -z
-z = x
How do I derive the eigenvector for eigenvalue of 2 in this case?