Given a specific Eigenvalue , how do I find an eigenvector of a Matrix ?
Specifically, if and
By the way, is there a way to make my Matrix look a little neater/lined up?
Solve the matrix equation
Since your eigen value is 4 we get
putting this in reduced row form we get
Solving the above homogenious equation gives
or
So that is the eigen vector
p.s if you use the \begin{bmatrix} \end{bmatrix} tags it will auto format all of your columns