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5 cards from this section. Quick, good the night before a test.
Define a vector space and its basic properties.
Think about operations and the necessary rules that govern them.
What is a subspace? Give an example.
Recall the properties that validate a subspace.
What is a vector space?
Recall the operations that define a vector space.
True or False: A subspace can include only some of the vectors in a vector space.
Think about the properties that define a subspace.
Find and prove a basis for the vector space spanned by the vectors (3, 6) and (1, 2).
Consider how one vector can be formed from the other.
Prove that the set W = {(x, y, z) ∈ R^3 | x + 2y + 3z = 0} is a subspace of R^3.
You need to satisfy all three conditions for subspaces.
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