Let
A=[7−322]A = \begin{bmatrix} 7 & -3 \\ 2 & 2 \end{bmatrix}A=[72−32]
You are told that v=(3, 2)\mathbf{v} = (3,\,2)v=(3,2) is an eigenvector of AAA.
What is the eigenvalue belonging to v\mathbf{v}v, and what is AAA's other eigenvalue?
Select all that apply.
λv=5\lambda_{\mathbf{v}} = 5λv=5, other eigenvalue =9= 9=9
λv=4\lambda_{\mathbf{v}} = 4λv=4, other eigenvalue =5= 5=5
λv=5\lambda_{\mathbf{v}} = 5λv=5, other eigenvalue =4= 4=4
λv=15\lambda_{\mathbf{v}} = 15λv=15, other eigenvalue =−6= -6=−6