- #1
mpm
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I'm having a hard time understanding some things about vector subspaces.
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 don't 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.
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 don't 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.