I'm having a hard time understanding some things about vector subspaces.(adsbygoogle = window.adsbygoogle || []).push({});

I have two problems that I am supposed to determine if the sets are subspaces of R^2.

I know both sets are not subspaces but I dont really understand why or how to prove it for that matter. Can anyone shed some light for me?

Problem 1

{(x1,x2)^T | |x1| = |x2|}

Problem 2

{x1,x2)^T | x1^2 = x2^2}

If anyone could help me with any part or both I would really appreciate it. I think I'm missing something relatively easily.

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# Homework Help: Vector Subspace Question

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