Math 218: Matrices and Vectors

Welcome! You have found the homepage of the Fall 2022 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
	Digraphs
Week 2	Vector Geometry
	Matrix Multiplication
	Row Echelon Forms
Week 3	Linear Systems
	Gauss-Jordan Elimination
	Nonsingular Matrices
Week 4	EA=R Factorizations
	PA=LU Factorizations
	Eigenvalues
Mon 03-Oct	Exam I ⟵ covers weeks 1-4 (rescheduled 3-Oct!)
Week 5	Null Spaces
	Column Spaces
Week 6	The Four Fundamental Subspaces ⟵ meet on zoom 30-Sept!
	Linear Independence
	Bases
Week 7	Dimension
	Orthogonality
Week 8	Projections
	Least Squares
	A=QR Factorizations
Fri 28-Oct	Exam II ⟵ covers weeks 5-8
Week 9	The Gram-Schmidt Algorithm
	Determinants I
Week 10	Determinants II
	Complex Numbers
	Polynomial Algebra
Week 11	The Characteristic Polynomial
	Diagonalization
	Matrix Exponentials
Week 12	The Spectral Theorem
	Definiteness
Week 13	Partial Derivatives ⟵ (w/quiz but no pset)
Fri 02-Dec	Exam III ⟵ covers weeks 9-13
Week 14	Singular Value Decomposition
Week 15	Linear Approximations ⟵ pset not collected!
	Cholesky Factorizations ⟵ pset not collected!
	The Hessian ⟵ pset not collected!
Sun 18-Dec	Final Exam ⟵ click for info!