Theoretical / proof-based
Linear algebra · Undergraduate · Math
Topics
Vector space proofs
- Vector space axioms and subspace proofs
- Proofs of linear independence and basis theorems
- Rank-nullity theorem: proof and consequences
- Abstract vector spaces beyond R^n (polynomials, functions)
Maps and diagonalization
- Linear transformations: kernel, image, and isomorphism
- Change of basis and similarity of matrices
- Characteristic polynomials and algebraic multiplicity
- Diagonalization criteria and proofs
- Orthogonality proofs and the projection theorem
- Spectral theorem for symmetric matrices (statement and proof sketch)
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$1,162 · Linear algebra · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle or Venmo.