# Basis and eigenvectors

• Sep 24th 2012, 07:21 AM
nivek0078
Basis and eigenvectors
Can R^3 have a basis of eigenvectors all of which have 0 in their first components, why or why not? Thank you in advance for your time.
• Sep 24th 2012, 08:42 AM
FernandoRevilla
Re: Basis and eigenvectors
Quote:

Originally Posted by nivek0078
Can R^3 have a basis of eigenvectors all of which have 0 in their first components, why or why not? Thank you in advance for your time.

No, the rank of those three vectores is $<3.$