Math 218: Matrices and Vectors

Welcome! You have found the homepage of the Spring 2025 manifestation of Math 218.

Schedule

Quizzes and problem sets are distributed through gradescope.

Timeframe	Topic	Resources
Week 0	Welcome!
Week 1	Matrices and Vectors
	Adjectives ⟵ complete at home! (w/quiz but no pset)
	Matrix-Vector Products
Week 2	Digraphs
	Vector Geometry
	Matrix Multiplication ⟵ deadline extended to Tu 28-Jan!
Week 3	Row Echelon Forms
	Linear Systems ⟵ deadline extended to Tu 4-Feb!
Week 4	Gauss-Jordan Elimination
	Nonsingular Matrices
Fri 07-Feb	Exam I ⟵ covers weeks 1-4
Week 5	EA=R Factorizations
	PA=LU Factorizations
Week 6	Eigenvalues
	Null Spaces
	Column Spaces
Week 7	The Four Fundamental Subspaces
	Linear Independence
	Bases
Week 8	Dimension
	Orthogonality
	Projections
Fri 07-Mar	Exam II ⟵ covers weeks 5-8
Week 9	Least Squares
	A=QR Factorizations
Week 10	Spring Break!
Week 11	The Gram-Schmidt Algorithm
	Determinants I
	Determinants II
Week 12	Complex Numbers
	Polynomial Algebra
	The Characteristic Polynomial
Week 13	Diagonalization
	Matrix Exponentials
	The Spectral Theorem
Week 14	Definiteness
	Singular Value Decomposition
Fri 18-Apr	Exam III ⟵ covers weeks 9-14
Week 15	Partial Derivatives ⟵ (w/quiz but no pset)
	Linear Approximations ⟵ pset not collected!
Week 16	Cholesky Factorizations ⟵ pset not collected!
	The Hessian ⟵ pset not collected!
Tue 29-Apr	Final Exam ⟵ click for info! (covers everything)