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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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?
Originally Posted by Deveno 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? I don't know. I don't get it.