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5 cards from this section. Quick, good the night before a test.
What is a vector space?
Think about the basic operations involved.
List the two operations that define a vector space.
Recall the foundational operations of vector spaces.
What is a vector space defined by?
Think about the basic definition of vector spaces.
True or False: All subsets of a vector space are also vector spaces.
Consider the definitions of subspaces.
Given three vectors in ℝ³, determine if they are linearly independent or dependent. Provide an explanation.
Look for coefficients that are not all zero.
Define the null space of a given matrix and explain its significance.
Think about how null spaces relate to linear systems.
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