Question

How to find eigenvalues and eigenvectors?

Answer 1

(λ = −2 is a repeated root of the characteristic equation.) Once theeigenvalues of a matrix (A) have been found, we can find the eigenvectors by Gaussian Elimination. to row echelon form, and solve the resulting linear system by back substitution. – We must find vectors x which satisfy (A − λI)x = 0.