I'm tasked with finding the characteristic equation,eigenvalues, and bases for the eigenspaces of this matrix
[1, -3, 3]
[3,-5,3]
[6,-6,4]
After working on the problem, I believe the characteristicequation is (? + 2)^2(?-4), giving eigenvalues of -2 and 4 (pleasecorrect me if I'm wrong). However, I'm lost when finding the basesfor the eigenspace because I'm not sure the eigenvectors I get arelinearly independent.
