Show that if Ax=b has more than 1 solution, it has infinitly many solutions.

Hint: If and are two solutions consider where

Here's my start

let and be distinct solutions to then and

Why must r+s=1?

- Jan 25th 2011, 05:49 PMJskidShow that if Ax=b has more than 1 solution, it has infinitly many solutions
Show that if Ax=b has more than 1 solution, it has infinitly many solutions.

Hint: If and are two solutions consider where

Here's my start

let and be distinct solutions to then and

Why must r+s=1? - Jan 25th 2011, 07:36 PMmr fantastic