Can someone explain #1
julianna_burke
I understand how to get the Q and have been getting the same as everyone else Q= (first row: 1, -1, -1, second row: 1, 1, 0, third row: 1, 0, 1) But when i try to check it by finding the inverse of Q and check to see if D= Q^-1AQ, but I do not get it to equal D. Has anyone tried checking, and did it work for them?
henry_lee: June 2, 2015, 9:06 p.m.
My eigenvectors are [1,0,-1], [1,-1,0], and [1,1,1] and it worked for me, but I'm not sure where you got yours. What did you get for eigenvalues?
julianna_burke: June 2, 2015, 9:15 p.m.
I have the same eigen vectors as you, I accidentally typed my Q wrong, but same as yours. I got -1 and 2 for my eigenvalues. Did you get a whole bunch of 1/3 s in your Q inverse?
henry_lee: June 2, 2015, 9:21 p.m.
Yeah, I had a lot of 1/3s as well. Are you sure your matrix multiplication is correct?
julianna_burke: June 2, 2015, 9:59 p.m.
did you get Q^-1 = (first row: 1/3, 1/3, -1; second row: 1/3, -2/3, 1; third row: 1/3, 1.3, 0)?
julianna_burke: June 2, 2015, 10:21 p.m.
Oh nevermind! After the 6th time doing it I got it right!