Question

Is this 2x2 matrix diagonalizeable?
A= 4 -2
-1 5

Answer 1

http://evergreen.loyola.edu/mpknapp/www/teaching/235-s01/review3/ follow this

Answer 2

Using the characteristic equation I was able to determine that the eigenvalues are 6.3 and 2.7

Answer 3

Then I tried to find the lin ind eigenvectors by following this:
(A- eigenvalue*I) x1 = 0
x2 0

Answer 4

to find eigenvectors solve this system:
\[(A-\lambda I)v =0\]

Answer 5

hmmm.. I get eigenvlues are 3 and 6