Standard syllabus
Linear algebra · Undergraduate · Math
Topics
Systems and matrix algebra
- Systems of linear equations; Gaussian elimination and row echelon form
- Matrix algebra: addition, multiplication, and properties
- Matrix inverses and the Invertible Matrix Theorem (statement)
- Determinants and their geometric interpretation (area/volume scaling)
Vector spaces
- Vectors in R^n; linear combinations and span
- Linear independence and dependence
- Subspaces; column space, null space, and bases
- Dimension and the rank-nullity theorem (statement)
Eigenvalues and orthogonality
- Eigenvalues and eigenvectors; diagonalization of square matrices
- Orthogonality, projections, and the Gram–Schmidt process
- Least squares solutions to inconsistent systems
- Inner product spaces and orthonormal bases (introduction)
Pricing calculator
Choose materials, tutoring, or both — or book a single session as needed. Customize your plan on the subscribe page.
$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.