(adsbygoogle = window.adsbygoogle || []).push({}); 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]M_{nxn}(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?

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# Homework Help: Seeking of eigenvalues and eigenvectors of a given matrix

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