SOLUTION: I need to show an example of a subset of R2 that is a nontrivial subspace of R2. Then I need to prove that it is nontrivial. Can someone please help me. Thanks.

Algebra ->  Vectors -> SOLUTION: I need to show an example of a subset of R2 that is a nontrivial subspace of R2. Then I need to prove that it is nontrivial. Can someone please help me. Thanks.      Log On


   



Question 1048622: I need to show an example of a subset of R2 that is a nontrivial subspace of R2. Then I need to prove that it is nontrivial. Can someone please help me.
Thanks.

Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.
I just answered this question once:
https://www.algebra.com/algebra/homework/Vectors/Vectors.faq.question.1047194.html

https://www.algebra.com/algebra/homework/Vectors/Vectors.faq.question.1047194.html


Take, for example, the straight line y = x.

As the set, it is { (x,y) from R%5E2 | x = y }.