# Imf=Kerf

• Nov 11th 2012, 02:56 AM
jojo7777777
Imf=Kerf
May you help me please, with an example of a vector space V and a linear mapping f:V->V , such that Imf=Kerf?
• Nov 11th 2012, 03:20 AM
FernandoRevilla
Re: Imf=Kerf
Quote:

Originally Posted by jojo7777777
May you help me please, with an example of a vector space V and a linear mapping f:V->V , such that Imf=Kerf?
For example, $f:\mathbb{R}^2\to \mathbb{R}^2$ defined by $f(x_1,x_2)=(0,x_1)$.