Math 218: Matrices and Vectors

Welcome! You have found the homepage of the Fall 2023 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
Week 3	Row Echelon Forms
	Linear Systems
	Gauss-Jordan Elimination
Week 4	Nonsingular Matrices
	EA=R Factorizations
	PA=LU Factorizations
Fri 29-Sep	Exam I ⟵ covers weeks 1-4
Week 5	Eigenvalues
	Null Spaces
Week 6	Column Spaces
	The Four Fundamental Subspaces
	Linear Independence
Week 7	Bases
	Dimension
	Orthogonality
Week 8	Projections
	Least Squares
Fri 27-Oct	Exam II ⟵ covers weeks 5-8
Week 9	A=QR Factorizations
	The Gram-Schmidt Algorithm
Week 10	Determinants I
	Determinants II
	Complex Numbers
Week 11	Polynomial Algebra
	The Characteristic Polynomial
	Diagonalization
Week 12	Matrix Exponentials
	The Spectral Theorem
	Definiteness
Week 13	Partial Derivatives ⟵ (w/quiz but no pset)
Fri 01-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!
Thu 14-Dec	Final Exam ⟵ click for info!