Linear Vector Spaces Exam 1
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Last updated 5:35 AM on 9/25/25
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9 Terms
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Addition Properties that must be satisfied for a vector space
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Scalar Multiplication Properties that must be satisfied for a vector space,
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Subspaces: M subset of V is a subspace if
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Norms: A norm ||.|| on vector space V satisfies:
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Inner Products: An inner product <.,.> on V satisfies:
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Linear Independence/Dependence: Set S = {v_1, …, v_n} is
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Span {v_1, …, v_n} is always a
Subspace
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S is Linearly Dependent iff
at least one vector is a linear combination of the others
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Rank-Nullity Theorem
dim(V) = dim(Ker(T)) + dim(R(T))
Note 
Flashcards (45)