## anonymous 5 years ago Consider the linear transformation T: C^2-> C^2 given by T(z,w,)=(2z,z+w). Find the eigenvalues and eigenvectors for T.

1. nowhereman

Look at the characteristic polynomial to find the eigenvalues. Then solve for each ev λ the linear equation Tx = λx.

2. anonymous

Well in this case the matrix is $(2 & 0 \ 1 & 1)$. So the characterestic poly is $(2-\lambda)(1-\lambda) = 0$. You wil get $2\lambda^ 2$. Solve for $\lambda$ to get the eigenvalues.