Math Notes

University Mathematics

Overview Concept Vector Spaces Concept Subspaces Concept Linear Combinations and Span Concept Linear Independence Concept Basis and Dimension Theorem Replacement Theorem (Steinitz Exchange Lemma)Theorem Dimension Theorem for Subspaces Proof Proof of the Replacement Theorem

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Vector Spaces

Vector Spaces

Concepts

Vector Spaces Subspaces Linear Combinations and Span Linear Independence Basis and Dimension

Theorems

Replacement Theorem (Steinitz Exchange Lemma)Dimension Theorem for Subspaces

Proofs

Proof of the Replacement Theorem

Mathematics Lecture Notes