Consider a system of linear equations . Suppose the entries of the matrices A and b are all rational numbers, and the system has a nontrivial sol. in . Show that it has a nontrivial sol in .

I am not sure on how to start this.

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- September 25th 2011, 05:43 PMdwsmithSystem of equations
Consider a system of linear equations . Suppose the entries of the matrices A and b are all rational numbers, and the system has a nontrivial sol. in . Show that it has a nontrivial sol in .

I am not sure on how to start this. - September 25th 2011, 05:59 PMDevenoRe: System of equations
how do you find a solution to Ax = b? if you use elementary row operations only involving rational numbers, won't the results be rational?

- September 25th 2011, 06:03 PMdwsmithRe: System of equations