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2 cards from this section. Quick, good the night before a test.
What are the three conditions for a subset to be a subspace?
Think about both operations: addition and scalar multiplication.
Give an example of a zero vector in R².
What are the components that make a vector zero?
What is a key requirement for a subset to be a subspace?
Think about the foundational element shared by all vector spaces.
True or False: Any linear combination of vectors in a subspace will result in a vector that is also in the subspace.
Consider the definition of span.
Given vectors (2, 3) and (4, 6) in R², determine if their span forms a subspace of R².
Check if the vectors are linearly independent or dependent.
Demonstrate if the intersection of two lines in R² is a subspace.
Consider different conditions under which the lines may or may not intersect.
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