Math 781: Matrices and Data

Welcome! You have found the homepage of the Spring 2024 manifestation of Math 781.

Schedule

Quizzes and problem sets are distributed through gradescope.

Timeframe	Topic	Resources
Week 0	Welcome!
Week 1	Matrices and Vectors
	Adjectives ⟵ complete at home!
Week 2	Matrix-Vector Products
	Digraphs
Week 3	Vector Geometry
	Matrix Multiplication
Week 4	Row Echelon Forms
	Linear Systems
Week 5	Gauss-Jordan Elimination
	Nonsingular Matrices
Week 6	EA=R Factorizations
	PA=LU Factorizations
	Eigenvalues
Week 7	Null Spaces
	Column Spaces
	The Four Fundamental Subspaces
Week 8	Linear Independence
	Bases
Week 9	Dimension ⟵ originally week 8 (deadline: 21-March)
	Orthogonality
Week 10	Projections ⟵ originally week 9 (deadline: 27-March)
	Least Squares ⟵ originally week 9 (deadline: 27-March)
	A=QR Factorizations
Week 11	The Gram-Schmidt Algorithm ⟵ originally week 10 (deadline: 4-April)
	Determinants I
	Determinants II
Week 12	Complex Numbers ⟵ originally week 11 (deadline: 11-April)
	Polynomial Algebra
	The Characteristic Polynomial
Week 13	Diagonalization ⟵ originally week 12 (deadline: 18-April)
	The Spectral Theorem
	Definiteness
Week 14	Singular Value Decomposition