Date: Feb 11, 2013 8:48 AM
Author: Jose Carlos Santos
Subject: Re: Linear algebra with slope.
On 11-02-2013 10:38, mina_world wrote:

> Linear transformation f : R^2 -> R^2.

> Let M be the standard matrix of f.

> Let Rank(M) = 1 or 2.

>

> Given a straight line y = ax+b.

>

> Then f transforms this line(y=ax+b) into

> a line(y=cx+d) OR a fixed point.

>

> If y=cx+d line exists, show that (1,c) = f(1,a).

This can't be true. If f(x,y) = (2x,2y), then _f_ has rank 2 and

transforms the line y = x into

itself. But f(1,1) = (2,2).

Best regards,

Jose Carlos Santos