- #1

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## Homework Statement

Find just one base of the set of pictures and one base of the kernel.

[tex]f:\mathbb{R}^3\rightarrow\mathbb{R}^3\ ,f(x,y,z)=(x+2y-z,y+z,x+y-2z)[/tex]

## Homework Equations

[tex]Im F=\{f(v)| v\in V\}[/tex]

[tex]ker F=\{v\in V | F(v)=0\}[/tex]

## The Attempt at a Solution

Actually, I don't know the principle of solving this tasks. My textbook is rubbish. It doesn't say anything about this problem, or how to solve it. Thanks for your time, and help.