Eigenvalues, Eigenvectors and Diagonalization
I have the matrix A=|7 2|
I found the eigenvalues λ=9 and λ=-5
Now i have to find the eigenvector, using Gauss.
A-9I = |-2 2 0| R1
|12 -12 0| R2
and used Gauss this way:
R1/-2 and R2/2
until i got the vector
|1 0 0|
|0 1 0|
I cant really find out what to do now. And then i have to find a matrix, P, that diagonalizes the matrix A.
In the other example i had the vector
A= |-1 -2 -2|
|1 2 1|
|-1 -1 0|
and i solved for the eigenvalues and got
But if i solve it with my texas instrument, i get λ=-0,295598 wich doesn't sound so right. So how do i solve it?
Thank you :)