MATH 3120 — Linear Algebra

UPenn MATH 3120, Spring 2026.
Course website

daniel.krashen+lalg@gmail.com

Lecture 1 (January 14, 2026): Introductions

Lecture 2 (January 21, 2026): Reduced row echelon form, spaces of vectors

Lecture 3 (January 28, 2026): Rank and number of solutions, introduction to matrix algebra

Lecture 4 (February 2, 2026): Matrix algebra

Lecture 5 (February 4, 2026): Linear transformations and matrices

Lecture 6 (February 9, 2026): Matrix multiplication is composition, intro to matrix factorization

Lecture 7 (February 11, 2026): Matrix factorization, subspaces, image, rank, nullity

Lecture 8 (February 16, 2026): Spanning and independent sets, geometry and projections

Exam 1 practice sheet (February 18, 2026):

Lecture 9 (March 2, 2026): More orthogonality, introduction to determinants

Lecture 10 (March 4, 2026): Determinants, transposes