1. The problem statement, all variables and given/known data in seeking of eigenvalues and eigenvectors of a given matrix A, is it permissible first to simplify A by means of some elementary operation? (that is, are the eigenvalues and eigenvector of A invariant with respect to elementary row operation)? (prove it) 2. Relevant equations n/a 3. The attempt at a solution i want to prove it, but before that i want to translated it correctly F is a field, v is eigenvector, λ is eigenvalue Given A[tex]\in[/tex]Mnxn(F) if B is row equivalent to A, then there exist unique λ[tex]\in[/tex]F and v such that Av=λv=Bv so, is my translation correct?