- #1
imsleepy
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eigenval/vect question, double check my answers, don't make sense....
find eigenvalues and eigenvectors of matrix A =
102
012
223
A -λI etc blah
I'm getting λ = 1, -1, 5.
For λ = 1, v = (-1,1,0)t (t being a real integer constant), and double checking says it's right.
For λ = -1, I'm getting v = (1,1,1)t but if i double check by multiplying it with the matrix A I'm not getting something in the form of v (i'm getting like.. 3,3,7, which doesn't make sense to me).
For λ = 5, i got v = (1,1,2)t but again double checking doesn't give a vector in this form! (multiplying this v by A gives me 3,3,14) :angry:
what am i doing wrong??
Homework Statement
find eigenvalues and eigenvectors of matrix A =
102
012
223
Homework Equations
A -λI etc blah
The Attempt at a Solution
I'm getting λ = 1, -1, 5.
For λ = 1, v = (-1,1,0)t (t being a real integer constant), and double checking says it's right.
For λ = -1, I'm getting v = (1,1,1)t but if i double check by multiplying it with the matrix A I'm not getting something in the form of v (i'm getting like.. 3,3,7, which doesn't make sense to me).
For λ = 5, i got v = (1,1,2)t but again double checking doesn't give a vector in this form! (multiplying this v by A gives me 3,3,14) :angry:
what am i doing wrong??