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subopolois
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Homework Statement
Determine whether U is a subspace of R3
U= [0 s t|s and t in R]
Homework Equations
My textbook, which is vague in its explinations, says the following
"a set of U vectors is called a subspace of Rn if it satisfies the following properties
1. The zero vector 0 is in U
2. If X and Y are in U, then X+Y is also in U
3. If X is in U then aX is in U for every real number a
The Attempt at a Solution
ive been trying to figure out how to do this, but i don't understand the three rules and how to apply them to the question