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mooshupork34
04-16-2007, 03:02 PM
This problem was confusing me so any explanations would be helpful and greatly appreciated!

Examine S \subset R^5 defined by

S = {x_1, x_2, x_3, x_4, x_5 \epsilon R^5|x_2 = 0, x_3 + x_4 = x_5}.

Verify that the subset S is, in fact, a subspace.[/tex]

pka
04-16-2007, 03:17 PM
Verify that the subset S is, in fact, a subspace.
Do you know the meaning of subspace?
Is the set closed under addition and scalar multiplication?
What else is necessary of a subset to be a subspace?